Yudell Luke | Academic Influence

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Yudell Luke

Mathematics

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Measure Theory

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Mathematics

Yudell Luke's Degrees

Bachelors Mathematics Stanford University

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Why Is Yudell Luke Influential?

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According to Wikipedia, Yudell Leo Luke was an American mathematician who made significant contributions to MRIGlobal, was awarded the N. T. Veatch award for Distinguished Research and Creative Activity in 1975, and appointed as Curator's Professor at the University of Missouri in 1978, a post he held until his death.

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Yudell Luke'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

The special functions and their approximations (1972) (1794)
Mathematical functions and their approximations (1975) (585)
Integrals of Bessel Functions (1963) (374)
Inequalities for generalized hypergeometric functions (1972) (119)
On the computation of oscillatory integrals (1954) (88)
Algorithms for the Computation of Mathematical Functions (1977) (87)
Padé approximations to the operator exponential (1970) (42)
Predictor-corrector formulas based on rational interpolants* (1975) (34)
Approximations for elliptic integrals (1968) (30)
Tables of the Theodorsen Circulation Function for Generalized Motion (1951) (28)
Simple Formulas for the Evaluation of Some Higher Transcendental Functions (1955) (27)
Further Approximations for Elliptic Integrals (1970) (23)
Some Notes on Integrals Involving Bessel Functions (1950) (22)
The Padé Table and theτ-Method (1958) (22)
Expansion formulas for generalized hypergeometric functions (1962) (21)
APPROXIMATE INVERSION OF A CLASS OF LAPLACE TRANSFORMS APPLICABLE TO SUPERSONIC FLOW PROBLEMS (1964) (21)
Rational approximations to the incomplete elliptic integrals of the first and second kinds (1967) (20)
A Study of the Bending-Torsion Aeroelastic Modes for Aircraft Wings (1949) (20)
Asymptotic expansions of a class of hypergeometric polynomials with respect to the order—III (1963) (19)
Rational approximations to the solution of the second order Riccati equation. (1966) (19)
On the Roots of Algebraic Equations (1951) (18)
Jacobi polynomial expansions of a generalized hypergeometric function over a semi-infinite ray (1963) (17)
INCOMPLETE GAMMA FUNCTIONS (1975) (17)
Computations of coefficients in the polynomials of Pade´approximations by solving systems of linear equations (1980) (16)
THE BINOMIAL FUNCTION (1975) (16)
On Economic Representations of Transcendental Functions (1959) (15)
Evaluation of the Gamma Function by Means of Padé Approximations (1970) (14)
Expansion of the confluent hypergeometric function in series of Bessel functions (1959) (13)
Expansion of hypergeometric functions in series of other hypergeometric functions (1961) (12)
Rational Approximations to the Exponential Function (1957) (12)
Remarks on the $\tau $-Method for the Solution of Linear Differential Equations with Rational Coefficients (1955) (10)
Computation of integrals with oscillatory and singular integrands (1981) (10)
On the Error in the Padé Approximants for a Form of the Incomplete Gamma Function Including the Exponential Function (1975) (9)
Integrals of Jacobi functions (1982) (9)
A note on evaluation of coefficients in the polynomials of Padé approximants by solving systems of linear equations (1982) (9)
Recursion formulae for generalized hypergeometric functions (1968) (8)
Rational approximations for the logarithmic derivative of the gamma function (1971) (7)
On Generalized Gaussian Quadrature (1975) (7)
Miniaturized tables of Bessel functions. III (1971) (7)
Mechanical quadrature near a singularity (1952) (6)
On the error in a certain interpolation formula and in the Gaussian integration formula (1975) (6)
Error Estimation in Numerical Inversion of Laplace Transforms Using Padé Approximation (1978) (6)
Conversion of Polynomials between Different Polynomial Bases (1981) (6)
On a constant in the theory of trigonometric series (1965) (5)
Algorithms for Rational Approximations for a Confluent Hypergeometric Function II. (1976) (5)
An Associated Bessel function (1952) (5)
An algorithm for generating sequences defined by nonhomogeneous difference equations (1969) (5)
A Table of the Complete Cicala Function (1953) (5)
Solution of difference equations by use of the τ-method (1981) (4)
Rational approximations to the generalized Duffing equation (1966) (4)
Notes on the Calculation of the Response of Stable Aerodynamic Systems (1952) (4)
On the error in Padé approximations for functions defined by Stieltjes integrals (1977) (4)
On Generating Bessel Functions by Use of the Backward Recurrence Formula (1973) (4)
Some remarks on uniform asymptotic expansions for Bessel functions (1975) (3)
On the computation of log and tan (1957) (3)
Solution of second order difference equations via the τ-method (1981) (3)
Chebyshev expansions and rational approximations (1976) (3)
Inequalities for generalized hypergeometric functions of two variables (1974) (3)
Concerning a Definite Integral (1951) (3)
An Asymptotic Expansion (Donald L. Lansing) (1968) (3)
Evaluation of an integral arising in numerical integration near a logarithmic singularity (1956) (3)
New Formulae for Computing Incomplete Elliptic Integrals of the First and Second Kind. (1959) (3)
Coefficients to Facilitate Interpolation and Integration of Linear Sums of Exponential Functions (1952) (2)
ALGORITHMS FOR RATIONAL APPROXIMATIONS FOR THE GAUSSIAN HYPERGEOMETRIC FUNCTION (1977) (2)
BESSEL FUNCTIONS AND THEIR INTEGRALS (1975) (2)
THE GENERALIZED HYPERGEOMETRIC FUNCTION PFQ AND THE G-FUNCTION (1975) (1)
On the Computation of logZ and arc tanZ (1957) (1)
Vorticity Interaction (Sin-I Cheng) (1961) (1)
Note on the use of symmetric functions in the solution of linear differential equations with constant coefficients (1947) (1)
Sequence Transformations and Their Applications (Jet Wimp) (1982) (1)
Mathematical approximation techniques in biophysical models (1973) (1)
Rational approximations with applications to the solution of functional equations (1974) (1)
Some approximations and inequalities for Arc Tan and Ln (1978) (1)
THEORETICAL STUDIES OF THE EFFECTS OF ASPECT RATIO ON FLUTTER (1954) (1)
TABLES OF GENERALIZED AERODYNAMIC FORCES FOR TRIANGULAR WINGS WITH SUPERSONIC LEADING EDGES (1959) (1)
ON THE APPROXIMATE SOLUTION OF INTEGRAL EQUATIONS OF THE CONVOLUTION TYPE (1963) (1)
The radius of univalence of the function exp $$z^2 \mathop \smallint \limits_0^z $$ exp (−t2)dt (1961) (1)
On asymptotic expansions for functions of matrix argument (1979) (1)
Algorithms for the Computation of Mathematical Functions. (1978) (1)
THE GAMMA FUNCTION AND RELATED FUNCTIONS (1975) (1)
Solution of the difference equation for Gauss' hypergeometric function by use of the tau method (1983) (1)
COMPUTATION BY USE OF RECURRENCE FORMULAS (1975) (1)
Analysis of the coupled frequencies and mode shapes of vehicle control systems Final report, 15 Apr. 1965 - 14 Apr. 1966 (1966) (0)
THE CONFLUENT HYPERGEOMETRIC FUNCTION (1975) (0)
On a summability method (1979) (0)
Rational approximations to the generalized Duffing equation Final report, 15 Jan. - 1965 - 14 Jan. 1966 (1966) (0)
On the computation of $\log {\bf Z}$ and ${\rm arc}\tan {\bf Z}$ (1957) (0)
CHAPTER VIII – IDENTIFICATION OF THE PFQ AND G-FUNCTIONS WITH THE SPECIAL FUNCTIONS (1975) (0)
Rational approximation to the response of a dynamic system described by a nonlinear differential equation final report, 15 jan. 1964 - 14 jan. 1965 (1965) (0)
Two Integrals (A. D. Brailsford And M. S. Klamkin) (1967) (0)
Proceedings of the Second International Conference on Mathematical Modelling : Invited lectures, heat transfer and fluid mechanics, material properties, industrial applications, numerical modelling, mathematical programming, Simulation, stochastic modelling, and miscellaneous problems (1980) (0)
CHAPTER XIV – MISCELLANEOUS TOPICS (1975) (0)
Multiple precision computations on the IBM- 360 Interim technical report (1967) (0)
Numerical integration of nonlinear differential equations by use of rational approximation Final report, 15 Jan. 1965 - 14 Jul. 1967 (1967) (0)
CHAPTER III – ELEMENTARY FUNCTIONS (1975) (0)
The Gamma Function. Technical Progress Report No. 9, 1 March-- 15 June 1969. (1969) (0)
Inequality for the Roots of a Hypergeometric Polynomial (1984) (0)
LOMMEL FUNCTIONS, STRUVE FUNCTIONS, AND ASSOCIATED BESSEL FUNCTIONS (1975) (0)
Rational approximations to the solution of the second order Ricatti equation Technical report, 15 Jan. - 14 Oct. 1965 (1965) (0)
Convergence Proof of Economic Representation of Transcendental Functions. (1960) (0)
An Infinite Series (M. L. Glasser and A. J. Jerri) (1981) (0)
CHAPTER XI – ORTHOGONAL POLYNOMIALS (1975) (0)
SOME ASPECTS OF RATIONAL AND POLYNOMIAL APPROXIMATIONS (1975) (0)
Problems for Solution: 4776,4793-4797 (1958) (0)
On rational function approximations to the exponential function with application to the practical solution of linear differential difference equations with constant coefficients (1956) (0)
AERODYNAMIC LAG IN LATERAL CONTROL-FREE DYNAMIC STABILITY - (INCLUDING A METHOD FOR ITS INCLUSION IN DESIGN) (1954) (0)
Cumulative index to mathematics of computation, volumes 1-23 (1943-1969) (1972) (0)
Further Rational Approximations for the Incomplete Gamma Function. (1963) (0)
Use of pade aproximation for e-z to approximate an integral of a Bessel function (1983) (0)
On rational function approximations to the exponential function with application to the practical solution of linear differential difference equation with constant coefficients (1956) (0)
A Hypergeometric Series (1970) (0)
Generalized rational approximations with applications to problems in control theory Interim technical report (1967) (0)
THE GAUSSIAN HYPERGEOMETRIC FUNCTION 2 F 1 (1975) (0)
Approximation in Applied Mathematics. (1970) (0)

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