Walter Gautschi
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Swiss-American mathematician known for his contributions to numerical analysis
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Mathematics
Walter Gautschi's Degrees
- PhD Mathematics ETH Zurich
Why Is Walter Gautschi Influential?
(Suggest an Edit or Addition)According to Wikipedia, Walter Gautschi is a Swiss-born American mathematician, writer and professor emeritus of Computer science and Mathematics at Purdue University in West Lafayette, Indiana. He is primarily known for his contributions to numerical analysis and has authored over 200 papers in his area and published four books.
Walter Gautschi's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Orthogonal Polynomials: Computation and Approximation (2004) (1059)
- Computational Aspects of Three-Term Recurrence Relations (1967) (549)
- Numerical analysis: an introduction (1997) (449)
- Adaptive Quadrature—Revisited (2000) (428)
- Numerical integration of ordinary differential equations based on trigonometric polynomials (1961) (414)
- On Generating Orthogonal Polynomials (1982) (370)
- Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules (1993) (284)
- Some Elementary Inequalities Relating to the Gamma and Incomplete Gamma Function (1959) (258)
- Efficient computation of the complex error function (1970) (238)
- A Survey of Gauss-Christoffel Quadrature Formulae (1981) (227)
- Construction of Gauss-Christoffel quadrature formulas (1968) (202)
- An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form (1986) (198)
- Numerical analysis (1997) (161)
- Orthogonal polynomials: applications and computation (1996) (160)
- On the construction of Gaussian quadrature rules from modified moments. (1970) (156)
- Lower bounds for the condition number of Vandermonde matrices (1987) (156)
- Error Bounds for Gaussian Quadrature of Analytic Functions (1983) (125)
- Norm estimates for inverses of Vandermonde matrices (1974) (118)
- On inverses of Vandermonde and confluent Vandermonde matrices. II (1963) (107)
- Questions of Numerical Condition Related to Polynomials (1978) (100)
- Orthogonal polynomials-Constructive theory and applications * (1985) (96)
- A Computational Procedure for Incomplete Gamma Functions (1979) (91)
- Algorithm 363: complex error function [S15] (1969) (81)
- The condition of Vandermonde-like matrices involving orthogonal polynomials☆ (1983) (77)
- An Algorithmic Implementation of the Generalized Christoffel Theorem (1982) (71)
- Minimal Solutions of Three-Term Recurrence Relations and Orthogonal Polynomials* (1981) (58)
- THE INTERPLAY BETWEEN CLASSICAL ANALYSIS AND (NUMERICAL) LINEAR ALGEBRA — A TRIBUTE TO GENE H. GOLUB (2002) (55)
- Attenuation factors in practical Fourier analysis (1971) (52)
- Computational Aspects of Orthogonal Polynomials (1990) (50)
- NUMERICAL EVALUATION OF SPECIAL FUNCTIONS (2001) (50)
- A note of the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule (1990) (49)
- S -orthogonality and construction of Gauss-Turán-type quadrature formulae (1997) (48)
- Spirals: From Theodorus to Chaos (1993) (47)
- Optimally conditioned Vandermonde matrices (1975) (47)
- Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series (1985) (47)
- On the computation of modified Bessel function ratios (1978) (45)
- On the condition of algebraic equations (1973) (44)
- How (Un)stable Are Vandermonde Systems? (2020) (43)
- Gauss-type Quadrature Rules for Rational Functions (1993) (41)
- On inverses of Vandermonde and confluent Vandermonde matrices (1962) (41)
- Advances in Chebyshev quadrature (1976) (41)
- The condition of polynomials in power form (1979) (40)
- Numerical Quadrature in the Presence of a Singularity (1967) (40)
- Algorithm 236: Bessel Functions of the First Kind (1964) (39)
- Leonhard Euler: His Life, the Man, and His Works (2008) (39)
- On the remainder term for analytic functions of Gauss-Lobatto and Gauss-Radau quadratures (1991) (38)
- Polynomials orthogonal on the semicircle (1986) (38)
- Recursive Computation of Certain Integrals (1961) (38)
- Zeros and Critical Points of Sobolev Orthogonal Polynomials (1997) (37)
- On the computation of generalized Fermi-Dirac and Bose-Einstein integrals (1993) (37)
- Orthogonal Polynomials, Quadrature, and Approximation: Computational Methods and Software (in Matlab) (2006) (36)
- On mean convergence of extended Lagrange interpolation (1992) (36)
- Recursive Computation of the Repeated Integrals of the Error Function (1961) (36)
- An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions (1988) (35)
- Applications and Computation of Orthogonal Polynomials (1999) (34)
- Algorithm 793: GQRAT—Gauss quadrature for rational functions (1999) (33)
- Algorithm 542: Incomplete Gamma Functions [S14] (1979) (33)
- Orthogonal Polynomials and Quadrature * (1999) (33)
- Luigi Gatteschi’s work on asymptotics of special functions and their zeros (2008) (33)
- Vandermonde matrices on the circle: Spectral properties and conditioning (1990) (32)
- Mathematics of computation, 1943-1993 : a half-century of computational mathematics : Mathematics of Computation 50th Anniversary Symposium, August 9-13, 1993, Vancouver, British Columbia (1994) (32)
- Gauss-Radau formulae for Jacobi and Laguerre weight functions (2000) (32)
- On the sensitivity of orthogonal polynomials to perturbations in the moments (1986) (31)
- Moment-preserving spline approximation on finite intervals (1987) (31)
- Computing the Hilbert transform of a Jacobi weight function (1987) (30)
- Orthogonal Polynomials in MATLAB: Exercises and Solutions (2016) (30)
- On some orthogonal polynomials of interest in theoretical chemistry (1984) (29)
- A Harmonic Mean Inequality for the Gamma Function (1974) (29)
- A set of orthogonal polynomials induced by a given orthogonal polynomial (1993) (28)
- Anomalous Convergence of a Continued Fraction for Ratios of Kummer Functions. (1977) (28)
- How and how not to check Gaussian quadrature formulae (1983) (28)
- The use of rational functions in numerical quadrature (2001) (27)
- Quadrature rules for rational functions (2000) (27)
- Recursive computation of certain derivatives&a study of error propagation (1970) (27)
- Gauss Quadrature for Refinable Weight Functions (2000) (26)
- Remainder Estimates for Analytic Functions (1992) (25)
- Optimally scaled and optimally conditioned Vandermonde and Vandermonde-like matrices (2011) (25)
- On Generating Gaussian Quadrature Rules (1979) (25)
- Discrete approximations to spherically symmetric distributions (1984) (25)
- Computational Methods in Special Functions-A Survey (1975) (25)
- Some Mean Value Inequalities for the Gamma Function (1974) (24)
- High-order Gauss–Lobatto formulae (2000) (24)
- Computing the Hilbert Transform of the Generalized Laguerre and Hermite Weight Functions (2001) (24)
- On Chebyshev-Type Quadratures (1974) (24)
- Expansions of the exponential integral in incomplete gamma functions (2003) (23)
- A family of Gauss-Kronrod quadrature formulae (1988) (23)
- Computing orthogonal polynomials in Sobolev spaces (1995) (22)
- Polynomials orthogonal on the semicircle, II (1987) (21)
- On the computing Gauss-Kronrod Quadrature Formulae (1986) (21)
- A class of slowly convergent series and their summation by Gaussian quadrature (1991) (20)
- Quadrature formulae on half-infinite intervals (1991) (20)
- A note on the recursive calculation of incomplete gamma functions (1999) (20)
- The condition of orthogonal polynomials (1972) (20)
- New conjectured inequalities for zeros of Jacobi polynomials (2009) (20)
- Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals (2005) (19)
- Gauss-Radau and Gauss-Labatto quadratures with double end points (1991) (19)
- On the preceding paper “A Legendre polynomial integral” by James L. Blue (1979) (19)
- On certain slowly convergent series occurring in plate contact problems (1991) (19)
- Approximation and Computation (2011) (18)
- Moments in quadrature problems (1997) (17)
- Generalized Gauss–Radau and Gauss–Lobatto Formulae (2004) (17)
- Gauss quadrature routines for two classes of logarithmic weight functions (2010) (17)
- Exponential integral integral infinity 1 e-xtt -ndt for large values of n (1959) (17)
- Algorithm 331: Gaussian quadrature formulas (1968) (17)
- Algorithm 292: regular Coulomb wave functions (1966) (17)
- Is the recurrence relation for orthogonal polynomials always stable? (1993) (16)
- Statement of priority: “Iteration methods for finding all zeros of a polynomial simultaneously” (Math. Comp. 27 (1973), 339–344) by Oliver Aberth (1976) (15)
- On Padé approximants associated with Hamburger series (1983) (15)
- Stieltjes polynomials and related quadrature formulae for a class of weight functions, II (1996) (15)
- OPQ: A Matlab suite of programs for generating orthogonal polynomials and related quadrature rules (2017) (15)
- Differential Equations Applied in Science and Engineering (1958) (15)
- HOW SHARP IS BERNSTEIN'S INEQUALITY FOR JACOBI POLYNOMIALS? (2009) (14)
- On the condition of a matrix arising in the numerical inversion of the Laplace transform (1969) (14)
- Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions (2002) (13)
- Algorithm 471: exponential integrals [S13] (1973) (13)
- Spline approximations to spherically symmetric distributions (1986) (13)
- A historical note on Gauss–Kronrod quadrature (2005) (13)
- Generalized Laguerre polynomials (2016) (12)
- On the zeros of polynomials orthogonal on the semicircle (1989) (12)
- Optimal weighted chebyshev-type quadrature formulas (1975) (12)
- The spiral of Theodorus, numerical analysis, and special functions (2010) (12)
- On Euler's attempt to compute logarithms by interpolation: A commentary to his letter of February 16, 1734 to Daniel Bernoulli (2008) (11)
- Sub-range Jacobi polynomials (2012) (11)
- Evaluation of Repeated Integrals of the Coerror Function (1977) (11)
- The Lambert W-functions and some of their integrals: a case study of high-precision computation (2011) (11)
- of discrete (2016) (10)
- Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut (2001) (10)
- An application of minimal solutions of three-term recurrences to coulomb wave functions (1968) (10)
- Computation of Bessel and Airy Functions and of Related Gaussian Quadrature Formulae (2002) (10)
- Orthogonality — Conventional and Unconventional — In Numerical Analysis (1989) (9)
- Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics (2012) (9)
- The numerical evaluation of a challenging integral (2008) (9)
- Adaptive quadrature: Revisited (1998) (9)
- The numerical evaluation of singular integrals with coth-kernel (1987) (9)
- Zur Numerik rekurrenter Relationen (1972) (9)
- Conjectured inequalities for Jacobi polynomials and their largest zeros (2007) (9)
- An Evaluation Procedure for Incomplete Gamma Functions. (1977) (8)
- Computation of Successive Derivatives of f(z)/z* (1966) (8)
- Computing the Kontorovich–Lebedev Integral Transforms and their Inverses (2006) (8)
- Newton’s Method and Gauss-Kronrod Quadrature (1988) (8)
- Variable-precision recurrence coefficients for nonstandard orthogonal polynomials (2009) (8)
- The Hardy-Littlewood function: an exercise in slowly convergent series (2005) (8)
- On a conjectured inequality for the largest zero of Jacobi polynomials (2008) (8)
- THE CIRCLE THEOREM AND RELATED THEOREMS FOR GAUSS-TYPE QUADRATURE RULES (2006) (8)
- Table errata: Handbook of mathematical functions with formulas, graphs, and mathematical tables (Nat. Bur. Standards, Washington, D. C., 1964) edited by Milton Abramowitz and Irene A. Stegun (1976) (8)
- Algorithm 282: Derivatives of ex/x, cos (x)/x, AND sin (x)/x (1966) (8)
- Algorithm 221: Gamma functions (1964) (8)
- Algorithm 222: Incomplete beta functions ratios (1964) (8)
- Remark on algorithm 292 [S22]: regular coulomb wave functions (1969) (7)
- Numerical Differentiation and Integration (2012) (7)
- Remark on algorithm 282 [S22] derivatives of ex/x, cos(x)/x, and sin (x)/x (1970) (7)
- High-precision Gauss–Turán quadrature rules for Laguerre and Hermite weight functions (2014) (7)
- A Software Repository for Orthogonal Polynomials (2018) (7)
- Polynomials orthogonal with respect to the reciprocal gamma function (1982) (6)
- Nonexistence of Chebyshev-type quadratures on infinite intervals (1975) (6)
- On quadrature convergence of extended Lagrange interpolation (1996) (6)
- High-order generalized Gauss–Radau and Gauss–Lobatto formulae for Jacobi and Laguerre weight functions (2009) (6)
- On optimal Chebyshev-type quadratures (1977) (6)
- Orthogonal polynomials on the semicircle (1990) (5)
- Reminiscences of my involvement in de Branges’s proof of the Bieberbach conjecture (1986) (5)
- Quadrature and orthogonal polynomials (2001) (5)
- Some new applications of orthogonal polynomials (1985) (5)
- Numerical Quadrature Computation of the Macdonald Function for Complex Orders (2005) (5)
- Algorithm 259: Legendre Functions for arguments larger than one (1965) (5)
- Certification of algorithm 222: Incomplete beta function ratios (1964) (5)
- On conjectured inequalities for zeros of Jacobi polynomials (2008) (4)
- Repeated modifications of orthogonal polynomials by linear divisors (2013) (4)
- Algorithm 521: Repeated Integrals of the Coerror Function [S15] (1977) (4)
- Two-Point Boundary Value Problems for ODEs (2012) (3)
- Initial Value Problems for ODEs: Multistep Methods (2012) (3)
- On the paper “a continued fraction approximation of the modified bessel function I1(t)” by P.R. Parthasarathy and N. Balakrishnan (1991) (3)
- Neutralizing nearby singularities in numerical quadrature (2013) (3)
- Approximation and computation : in honor of Gradimir V. Milovanović (2011) (3)
- Supplement to Gaussian Quadrature Involving Einstein and Fermi Functions with an Application to Summation of Series (1985) (3)
- A Software Repository for Gaussian Quadratures and Christoffel Functions (2020) (3)
- Certification of algorithm 236 [S17]: Bessel functions of the first kind (1965) (3)
- On inverses of Vandermonde and confluent Vandermonde matrices III (1978) (3)
- Some applications and numerical methods for orthogonal polynomials (1990) (3)
- Honoring Alexander M. Ostrowski (1981) (2)
- Polynomials orthogonal with respect to exponential integrals (2015) (2)
- Applications and computation of orthogonal polynomials : conference at the Mathematical Research Institute Oberwolfach, Germany, March 22-28, 1998 (1999) (2)
- Error behavior in optimal relaxation methods (1982) (2)
- Supplement to On Computing Gauss-Kronrod Quadrature Formulae (1986) (2)
- Remark on “New conjectured inequalities for zeros of Jacobi polynomials” by Walter Gautschi, Numer. Algorithms 50:293–296 (2009) (2011) (2)
- On the convergence behavior of continued fractions with real elements (1983) (2)
- On conjectures of Stenger in the theory of orthogonal polynomials (2019) (2)
- The work of Philip Rabinowitz on numerical integration (1995) (2)
- Strength and Weakness of Three-Term Recurrence Relations (2010) (2)
- Algorithm 957 (2016) (2)
- Diffusion Functions for Small Argument (1962) (1)
- Associated Legendre polynomials (2017) (1)
- Algorithm 957: Evaluation of the Repeated Integral of the Coerror Function by Half-Range Gauss-Hermite Quadrature (2016) (1)
- On the Paper "A Continued Fraction Approximation of the Modified Bessel Function 11(t)" by (1991) (1)
- Approximation and Interpolation (2012) (1)
- Summation of slowly convergent series (1994) (1)
- In memoriam: Yudell L. Luke, June 26, 1918–May 6, 1983 (1984) (1)
- Note on bivariate linear interpolation for analytic functions (1959) (1)
- Generalized Gegenbauer polynomials (2017) (1)
- On the zeros of subrange Jacobi polynomials (2018) (1)
- Ostrowski and the ostrowski prize (1998) (1)
- A Conjectured Inequality for Hermite Interpolation at the Zeros of Jacobi Polynomials (1987) (1)
- Orthogonal polynomials relative to a generalized Marchenko–Pastur probability measure (2021) (1)
- Erratum to: Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics (2013) (1)
- To Alexander M. Ostrowski on his ninetieth birthday (1983) (1)
- 32-digit values of the first 100 recurrence coefficients for a half-range hyperexponential weight function (2017) (1)
- Contour plots of analytic functions (1998) (1)
- Recognition of Christoffel’s Work on Quadrature during and after His Lifetime (1981) (1)
- INERFC: Evaluation of the Repeated Integrals of the Coerror Function by Half-Range Gauss-Hermite Quadrature (2014) (1)
- A guided tour through my bibliography (2007) (1)
- Families of algebraic test equations (1979) (1)
- Gauss quadrature and Christoffel function for the halfrange Binet weight function (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for the midpoint weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the Plana weight function (2017) (0)
- Gauss quadrature and Christoffel function for a Binet-like weight function (2020) (0)
- Gauss quadrature and Christoffel function for a hyperexponential weight function (2020) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the Bose-Einstein weight function w(x)=x/(e^x-1) computed by the SOPQ routine sr_boseeinstein(100,1,32) (2014) (0)
- Gauss quadrature rules (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for a modified Bessel weight function (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=2 (2016) (0)
- Papers on Linear Recurrence Relations (2014) (0)
- Gauss quadrature and Christoffel function for Meixner–Pollaczek weight functions (2020) (0)
- Generalized Hermite polynomials (2016) (0)
- Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics (2012) (0)
- Numerical Aspects of Recurrence Relations (Zur Numerik Rekurrenter Relationen). (1973) (0)
- An application of minimal solutions of three-term recurrences to coulomb wave functions (1968) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the Fermi-Dirac weight function w(x)=1/(e^x+1) computed by the SOPQ routine sr_fermidirac(100,1,32) (2014) (0)
- 32-digit values of the first 62 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity (2017) (0)
- Gauss quadrature and Christoffel function for generalized Laguerre weight functions (2020) (0)
- 32-digit values of the first 200 recurrence coefficients for the weight function w(x)=[log(1/x)]^2 on [0,1] (2017) (0)
- Neutralizing nearby singularities in numerical quadrature (2012) (0)
- Gauss quadrature and Christoffel function for the Jacobi weight function multiplied by a logarithmic function (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for a half-range Binet-like weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the Morse weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for an Airy weight function (2016) (0)
- Papers on Orthogonal Polynomials on the Semicircle (2014) (0)
- 32-digit values of the first 100 recurrence coefficients, obtained from moments, for a radiative transfer weight function with parameter c=16/3 (2017) (0)
- The first 100 recurrence coefficients for a Pollaczek-type weight function with parameters in the interval [1/10,10] (2017) (0)
- Kravchuk orthogonal polynomials with parameters N and p (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the weight function having an algebraic/scaled-logarithmic singularity at 0 with exponent a=-1/2 and power b=1 (2017) (0)
- Gauss quadrature and Christoffel function for a logarithmic weight function with a quadratic argument (2020) (0)
- A brief summary of my scientific work and highlights of my career (2014) (0)
- Table errata: “A table of the first eleven repeated integrals of the error function” (J. Mathematical Phys. 34 (1955), 119–125) by Joseph Kaye (1976) (0)
- Erratum to: Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics (2013) (0)
- POEXPINT: Polynomials orthogonal with respect to the exponential integral (2014) (0)
- Gauss quadrature and Christoffel function for a Gegenbauer weight function multiplied by an exponential function (2021) (0)
- MCD: Matlab programs for computing the Macdonald function for complex orders (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for a generalized Laguerre weight function with exponent -1/2 multiplied by a logarithmically singular function (2016) (0)
- GQLOG: Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 2 (2016) (0)
- Gauss quadrature and Christoffel function for symmetric subrange Jacobi weight functions (2020) (0)
- 32-digit values of the first 65 recurrence coefficients for the Krylov-Pal'tsev weight function w(x)=exp(-x)*log(1+1/x) on [0,Inf] with exponent 0 (2017) (0)
- Gauss quadrature and Christoffel function for Freud weight functions (2020) (0)
- Orthogonal polynomials relative to weight functions of Prudnikov type (2021) (0)
- 32-digit values of the first 100 recurrence coefficients for upper subrange Jacobi polynomials (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for a symmetric hyperexponential weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the reciprocal gamma weight function (2016) (0)
- Papers on Orthogonal Polynomials on the Real Line (2014) (0)
- Stieltjes-Wigert orthogonal polynomials with parameters σ and m (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(-1/2)*x^(-1/2)*log(1/x) on [0,1] (2016) (0)
- Gauss quadrature and Christoffel function for the associated Legendre weight function (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for a generalized Jacobi weight function with Jacobi parameters -1/2, 3/2 and exponent -3/4 (2017) (0)
- NUMINT: Numerical Integration over the square (2014) (0)
- Polynomials orthogonal with respect to cardinal B-spline weight functions (2017) (0)
- Meixner orthogonal polynomials with parameters b and c (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=2 multiplied by an exponential function with coefficient a=8 (2017) (0)
- Christoffel and Numerical Analysis (1981) (0)
- Computing & Approximation in Honor of (2018) (0)
- On the Ismail–Letessier–Askey Monotonicity Conjecture for Zeros of Ultraspherical Polynomials (2018) (0)
- W. Gautschi INTERPOLATION BEFORE AND AFTER LAGRANGE (2014) (0)
- High-precision Gauss–Turán quadrature rules for Laguerre and Hermite weight functions (2013) (0)
- Polynomials orthogonal with respect to cardinal B-spline weight functions (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the 10th-order cardinal B-spline weight function (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the symmetric Laguerre weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range squared Binet weight function (2017) (0)
- Correction to: Sub-range Jacobi polynomials (2019) (0)
- Gauss quadrature and Christoffel function for Bose–Einstein weight functions (2020) (0)
- 32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the Binet weight function (2017) (0)
- Repeated modifications of orthogonal polynomials by linear divisors (2012) (0)
- 32-digit values of the first 100 recurrence coefficients, obtained from modified moments, for the Laguerre weight function multiplied by a logarithmically singular function (2016) (0)
- 28-digit values of the recursion coefficients relative to the Airy weight function w(x)= frac{2^{2/3}pi}{3^{5/6}Gamma(2/3)} *x^{-2/3}exp(-x)Ai((3x/2)^{2/3}) on [0,infty] (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the Theodorus weight function (2016) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the logarithmic weight function : w(x)=log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,0,0,32) (2014) (0)
- Gauss quadrature and Christoffel function for Fermi–Dirac weight functions (2020) (0)
- Gauss quadrature and Christoffel function for Stieltjes–Wigert weight functions (2020) (0)
- Gauss quadrature and Christoffel function for weight functions with algebraic/logarithmic singularities (2020) (0)
- Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: Analytic and empirical results (2016) (0)
- Gauss quadrature and Christoffel function for the squared generalized Binet weight function (2020) (0)
- Gauss quadrature and Christoffel function for the Laguerre weight function multiplied by a logarithmically singular function (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for a logarithmic weight function with rational argument (2017) (0)
- ANU volume 5 issue 1 Cover and Front matter (1996) (0)
- Erratum to: Sub-range Jacobi polynomials (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for a Gaussian weight function with parameters 1/2 and 1 (2017) (0)
- BIJ: Matlab programs for testing and extending Bernstein's Inequality for Jacobi polynomials (2014) (0)
- 32-digit values of the first 100 beta coefficients relative to the Freud weight function w(x)=exp(-x^8) computed on R by the SOPQ routine sr_freud(100,0,8,32) (2014) (0)
- Gauss quadrature and Christoffel function for a lower subrange exponential integral weight function (2020) (0)
- 32-digit values of the first 65 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing an algebraic singularity with exponent 1/2 and exponential/logarithmic factors (2017) (0)
- Experimental Mathematics Involving Orthogonal Polynomials (2010) (0)
- Papers on History and Biography (2014) (0)
- Monic Hahn orthogonal polynomials with parameters N, a, and b (2017) (0)
- Gauss quadrature and Christoffel function for the logistic weight function (2020) (0)
- Scripts for the Ismail-Letessier-Askey (ILA) monotonicity conjecture for zeros of ultraspherical polynomials (2016) (0)
- Papers on Numerical Conditioning (2014) (0)
- Gauss quadrature and Christoffel function for the Binet weight function (2020) (0)
- On conjectures of Stenger in the theory of orthogonal polynomials (2019) (0)
- 32-digit values of the first 100 recurrence coefficients for lower subrange Jacobi polynomials (2017) (0)
- Papers on Special Functions (2014) (0)
- Book Review: Handbook of numerical analysis, Vol. VI, Numerical methods for solids (Part 3), Numerical methods for fluids (Part 1) (2000) (0)
- 28-digit values of the recursion coefficients relative to the Bessel weight function w(x)=frac{sqrt{3}}{pi}K_{1/3}(x) on [0,infty] (2014) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the half-range Hermite weight function w(x)=exp(-x^2) on R_{+} computed by the SOPQ routine sr_halfrangehermite(100,32) (2014) (0)
- Papers on Ordinary Differential Equations (2014) (0)
- 32-digit values of the first 100 recurrence coefficients, obtained by discretization, for a radiative transfer weight function with parameter c=2/3 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=4 multiplied by an exponential function with coefficient a=8 (2017) (0)
- Gauss quadrature and Christoffel function for an elliptic Chebyshev weight function (2020) (0)
- NEUTRAL: Neutralizing nearby singularities in numerical quadrature (2014) (0)
- Gauss quadrature and Christoffel function for cardinal B-spline weight functions (2020) (0)
- Gauss quadrature and Christoffel function for symmetric subrange generalized Hermite weight functions (2020) (0)
- Initial Value Problems for ODEs: One-Step Methods (2012) (0)
- Book Review: Handbook of numerical analysis (1996) (0)
- 32-digit values of the first 100 recurrence coefficients for a Binet-like weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}e^{-x}(x-1-logx) on (0,Inf) computed by the SOPQ routine sr_laguerrelog1(100,1/2,32) (2014) (0)
- Gauss quadrature and Christoffel function for the Lindelöf–Dahlquist weight function (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for a Gegenbauer weight function with parameter λ=8 multiplied by an exponential function with coefficient a=8 (2017) (0)
- Walter Gautschi : selected works with commentaries (2014) (0)
- Gauss quadrature and Christoffel function for the reciprocal gamma weight function (2021) (0)
- 2 His Life 2 . 1 Basel 1707 – 1727 : Auspicious beginnings (0)
- 32-digit values of the first 100 recurrence coefficients for upper subrange generalized Hermite polynomials with exponent 1/2 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponents mu=0, nu=4 (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the Schroedinger weight function with exponent mu=5 (2016) (0)
- OWF: Matlab programs for computing orthogonal polynomials with respect to densely oscillating and exponentially decaying weight functions (2014) (0)
- 32-digit values of the first 200 recurrence coefficients for the weight function w(x)=log(1/x) on [0,1] (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for upper subrange generalized Hermite polynomials (2017) (0)
- Gauss quadrature and Christoffel function for exponential integral weight functions (2020) (0)
- Gauss quadrature and Christoffel function for the Airy weight function (2020) (0)
- IS THE R ECURRENCE R ELATION FOR ORTHOGONAL P OLYNOMIALS A LWAYS S TABLE (1993) (0)
- OCVdM: Optimally conditioned Vandermonde matrices (2014) (0)
- On the zeros of subrange Jacobi polynomials (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the Jacobi weight function on [0,1] with exponents 1/2 times a logarithmic factor (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac weight function (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range bimodal weight function with parameter ε=.005 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for a four-parameter exponential weight function with parameters 2, 1, 1, 0 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the upper subrange generalized Hermite weight function on [c,Inf], c = -1, with exponent 1/2 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for a lower subrange Binet weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,0,1/2,32) (2014) (0)
- Another look at polynomials orthogonal relative to exponential integral weight functions (2022) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponent 10 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein weight function (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for a Pollaczek-type weight function with parameter 1/10 (2017) (0)
- Papers on Miscellanea (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the squared generalized Binet weight function with parameter 1/2 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the square Binet weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the weight function w(x)=x^{1/2}(1-x)^{-1/2}log(1/x) on (0,1) computed by the SOPQ routine sr_jacobilog1(100,1/2,-1/2,32) (2014) (0)
- Loading variable-precision recurrence coefficients (2017) (0)
- Sub-range Jacobi polynomials (2012) (0)
- 32-digit values of the first 100 recurrence coefficients for the coerror weight function (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 3 (2016) (0)
- RMOP: Repeated modifications of orthogonal polynomials (2014) (0)
- Construction of Gauss-Christ of fei Quadrature Formulas (2010) (0)
- Construction of Gauss-Christ of fei Quadrature Formulas (2010) (0)
- 32-digit values of the first 100 recurrence coefficients for the finite-range exponential integral weight function on [0,1] (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[log(1/x)]^2 on [0,1] (2016) (0)
- The first 100 recurrence coefficients for cardinal Bspline weight functions of order m=[1:10 12 15 20] (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for symmetric subrange generalized Hermite polynomials (2016) (0)
- Gauss quadrature and Christoffel function for the coerror weight function (2020) (0)
- Gauss quadrature and Christoffel function for the Plana–Dahlquist weight function (2020) (0)
- Papers on Kronrod and Other Quadratures (2014) (0)
- Gauss quadrature and Christoffel function for lower subrange Jacobi weight functions (2020) (0)
- 32-digit values of the first 100 recurrence coefficients relative to SOPQ weight function w(x)=e^{-x}(x-1-logx) on (0,Inf) computed by the routine sr_laguerrelog1(100,0,32) (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the second-order cardinal B-spline weight function obtained from moments (2016) (0)
- SRJAC: Sub-range Jacobi polynomials (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range generalized Binet weight function with parameter 1/2 (2017) (0)
- A Discrete Top-Down Markov Problem in Approximation Theory (2018) (0)
- 32-digit values of the first 100 recurrence coefficients for the lower symmetric subrange Binet weight function on [-c,c], c=1 (2017) (0)
- 32-digit values of the first 64 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity (2017) (0)
- Gauss quadrature and Christoffel function for a logarithmic weight function with a rational square-root argument (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=4 (2016) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the Laguerre weight function w(x)=x^{-1/2}e^{-x}(x-1-logx) on (0,Inf) computed by the SOPQ routine sr_laguerrelog1(100,-1/2,32) (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the exponential integral weight function E_1 on [0,Inf] (2016) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the Theodorus weight function w(x)=x^{1/2}/(e^x-1) on R_{+} computed by the routine sr_theodorus(100,32) (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the Bose-Einstein-type weight function with exponent 4 (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the generalized Binet weight function with parameter 1/2 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients relative to the Bose-Einstein weight function w(x)=[x/(e^x-1)]^2 computed by the SOPQ routine sr_boseeinstein(100,2,32) (2014) (0)
- Gauss quadrature and Christoffel function for the squared Binet weight function (2020) (0)
- SOPQ: Symbolic OPQ (2015) (0)
- HPGT: High-precision Gauss-Turan quadrature rules (2014) (0)
- On the computation of Macdonald functions by numerical quadrature (2004) (0)
- Papers on Interpolation and Approximation (2014) (0)
- CHA: Matlab programs for computing a challenging integral (2014) (0)
- Modified squared Abel polynomials (2017) (0)
- Machine Arithmetic and Related Matters (2012) (0)
- LAMBERTW: Matlab programs for evaluating the Lambert W-functions and some of their integrals (2014) (0)
- Gauss quadrature and Christoffel function for radiative transfer weight functions (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range generalized Hermite weight function with exponent -1/2 (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for symmetric subrange Jacobi polynomials (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=[(1-.999*x^2)*(1-x^2)]^(-1/2) on [-1,1] (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the upper subrange Hermite weight function on [c,Inf], c=-√(1/2) (2017) (0)
- CIZJP: Matlab programs for conjectured inequalities for zeros of Jacobi polynomials (2014) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponent 6 (2017) (0)
- OPCBSPL: Orthogonal polynomials relative to cardinal B-spline weight functions (2016) (0)
- Charlier orthogonal polynomials with parameter a (2017) (0)
- 32-digit values of the first 63 recurrence coefficients for orthogonal polynomials relative to a weight function on [0,1] containing a logarithmic singularity (2017) (0)
- Gauss quadrature and Christoffel function for modified Bessel weight functions (2020) (0)
- Gauss quadrature and Christoffel function for a halfrange hyperexponential weight function (2020) (0)
- Gauss quadrature and Christoffel function for the Abel–Dahlquist weight function (2020) (0)
- Gauss quadrature and Christoffel function for optical fiber weight functions (2020) (0)
- Correction to: Sub-range Jacobi polynomials (2019) (0)
- Erratum to: Sub-range Jacobi polynomials (2017) (0)
- Electronic Transactions on Numerical Analysis Volume 36, 2009–2010 Contents (2011) (0)
- 32-digit values of the first 63 recurrence coefficients for the Krylov-Pal'tsev weight function on [0,Inf] with exponent 3 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range Binet weight function (2017) (0)
- Gauss quadrature and Christoffel function for halfrange generalized Hermite weight functions (2020) (0)
- 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(-1/2)*log(1/x) on [0,1] (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for the second-order cardinal B-spline weight function obtained by discretization (2016) (0)
- Scripts for a discrete top-down Markov problem in approximation theory (2016) (0)
- 32-digit values of the first 100 recurrence coefficients for an upper subrange Binet weight function (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for a weight function with a logarithmic type singularity (2017) (0)
- Logistic orthogonal polynomials (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(1/2)*exp(-x)*(x-1-log(x)) on [0,Inf] obtained from modified moments (2016) (0)
- 32-digit values of the first 65 recurrence coefficients for the weight function w(x)=x^(1/2)*exp(-x)*log(1+1/x) on [1,Inf] (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the half-range Freud weight function with exponents mu=0, nu=3 (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for an algebraically/logarithmically singular weight function on (0,1) (2016) (0)
- Papers on Chebyshev Quadrature (2014) (0)
- 32-digit values of the first 65 recurrence coefficients for the weight function w(x)=exp(-x)*log(1+1/x) on [1,Inf] (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for the Fermi-Dirac-type weight function with exponent r=3 (2017) (0)
- Gauss quadrature and Christoffel function for halfrange bimodal-type weight functions (2020) (0)
- Software Repository for Gauss quadrature and Christoffel function (2020) (0)
- Papers on Gauss-type Quadrature (2014) (0)
- Polynomials orthogonal with respect to exponential integrals (2014) (0)
- Squared Abel polynomials (2017) (0)
- 32-digit values of the first 100 recurrence coefficients for a square-root-logarithmic weight function (2016) (0)
- Papers on Computer Algorithms and Software Packages (2014) (0)
- My Collaboration with Gradimir V. Milovanović (2010) (0)
- Orthogonal polynomials relative to a generalized Marchenko–Pastur measure (2020) (0)
- Binet-type polynomials and their zeros (2018) (0)
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