William Branham Jones
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William Branham Jonesmathematics Degrees
Mathematics
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Measure Theory
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Mathematics
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(Suggest an Edit or Addition)William Branham Jones'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
- Encyclopedia of Mathematics and its Applications. (1982) (3844)
- Continued Fractions: Analytic Theory and Applications (1984) (708)
- Handbook of Continued Fractions for Special Functions (2008) (349)
- Moment Theory, Orthogonal Polynomials, Quadrature, and Continued Fractions Associated with the unit Circle (1989) (276)
- A strong Stieltjes moment problem (1980) (157)
- Gamma function and related functions (2008) (132)
- Orthogonal Laurent polynomials and the strong Hamburger moment problem (1984) (103)
- Two-point Padé expansions for a family of analytic functions☆ (1983) (84)
- Analytic Theory of Continued Fractions II (1982) (64)
- Orthogonal Laurent Polynomials and Gaussian Quadrature (1981) (57)
- Orthogonal Laurent polynomials and strong moment theory: a survey (1999) (51)
- Szego¨ polynomials associated with Wiener-Levinson filters (1990) (43)
- Accelerating convergence of trigonometric approximations (1970) (40)
- Survey of continued fraction methods of solving moment problems and related topics (1982) (39)
- Szego polynomials applied to frequency analysis (1993) (38)
- Continued fractions associated with trigonometric and other strong moment problems (1986) (38)
- Rational approximations corresponding to Newton series (Newton-Padé approximants) (1976) (35)
- Numerical stability in evaluating continued fractions (1974) (32)
- Blaschke product interpolation and its application to the design of digital filters (1987) (30)
- Applications for Szegö polynomials to digital signal processing (1991) (28)
- Basic hypergeometric functions (2008) (28)
- Continued Fractions and Strong Hamburger Moment Problems (1983) (24)
- Schur fractions, Perron-Carathéodory fractions and Szegö polynomials, a survey (1986) (22)
- Continued fractions in numerical analysis (1988) (22)
- Two-point Padé tables and $T$-fractions (1977) (21)
- MULTIPLE-POINT PADÉ TABLES (1977) (21)
- A Posteriori Bounds for the Truncation Error of Continued Fractions (1971) (21)
- Convergence of Continued Fractions (1968) (21)
- Truncation Error Bounds for Continued Fractions (1969) (21)
- Twin-convergence regions for continued fractions (_{}/1) (1970) (20)
- On Convergence of Padé Approximants (1975) (18)
- Variation K+ and Na+ content during the growth cycle of yeast. (1965) (17)
- On the computation of incomplete gamma functions in the complex domain (1985) (17)
- Digital filters and continued fractions (1982) (15)
- Orthogonal Laurent-polynomials and continued fractions associated with log-normal distributions (1990) (15)
- A survey of truncation error analysis for Padé and continued fraction approximants (1993) (14)
- Computation of poles of two-point Padé approximants and their limits☆ (1980) (14)
- Sequences of Meromorphic Functions Corresponding to a Formal Laurent Series (1979) (13)
- Continued Fractions and Szegö Polynomials in Frequency Analysis and Related Topics (2000) (12)
- Perron-Carathéodory continued fractions (1987) (12)
- Bounds for remainder terms in Szego¨ quadrature on the unit circle (1994) (11)
- A priori estimates for truncation error of continued fractionsK(1/bn) (1972) (11)
- Further properties ofT-fractions (1966) (10)
- Truncation error bounds for limit-periodic continued fractionsK(an/1) with liman=0 (1985) (9)
- Orthogonal Functions (2020) (8)
- Analysis of truncation error of approximations based on the Padé table and continued fractions (1974) (8)
- Orthogonal Laurent Polynomials of Jacobi , Hermite and Laguerre Types (2004) (8)
- APPLICATION OF STIELTJES FRACTIONS TO BIRTH-DEATH PROCESSES (1977) (8)
- Further results on the computation of incomplete gamma functions (1986) (7)
- Truncation Error Bounds for Continued Fractions K({{a_n } / 1}) with Parabolic Element Regions (1983) (7)
- Truncation error bounds for modified continued fractions with applications to special functions (1989) (7)
- Application of Szego¨ polynomials to frequency analysis (1994) (7)
- Convergence acceleration for continued fractions K(an/1), where an → ∞ (1987) (6)
- Sequences of convergence regions for continued fractions (_{}/1) (1972) (6)
- Stieltjes continued fractions for polygamma functions; speed of convergence (2005) (6)
- Truncation error analysis by means of approximant systems and inclusion regions (1976) (6)
- A constructive proof of convergence of the even approximants of positive PC-fractions (1989) (6)
- PC-fractions and orthogonal Laurent polynomials for log-normal distributions (1992) (6)
- Asymptotics of orthogonal L-polynomials for log-normal distributions (1992) (6)
- Continued fraction representation of functions (2008) (6)
- Applications of schur fractions to digital filtering and signal processing (1984) (5)
- Value regions for continued fractions $K(a_n/1)$ whose elements lie in parabolic regions. (1985) (5)
- Interpolation of Nevanlinna functions by rationals with poles on the real line (1998) (5)
- Finding the poles of the lattice filter (1985) (5)
- Continued Fractions: Author Index (1984) (5)
- Exponential integrals and related functions (2008) (4)
- Asymptotic behavior of the continued fraction coefficients of a class of Stieltjes transforms including the Binet function (1998) (4)
- A family of best value regions for modified continued fractions (1986) (4)
- Para-orthogonal Laurent polynomials and the strong Stieltjes moment problem (1999) (4)
- General t-fraction expansions for ratios of hypergeometric functions (1988) (4)
- Continued Fractions: Truncation-Error Analysis (1984) (3)
- A locally convex topology for spaces of holomorphic functions (1968) (3)
- Uniform twin-convergence regions for continued fractions K(a n /1) (1982) (3)
- Observations on Indeterminate Stieltjes Moment Problems (1994) (3)
- Schur’s Algorithm Extended and Schur Continued Fractions (1988) (3)
- Basic definitions and notation (1982) (3)
- Duality and types of completeness in locally convex spaces (1966) (3)
- Zeros of orthogonal Laurent polynomials and solutions of strong Stieltjes moment problems (2010) (3)
- Continued Fractions: Bibliography (1984) (2)
- Direct Products of Normed Linear Spaces (1967) (2)
- A Family of Classical Determinate Stieltjes Moment Problems with Discrete Solutions (1994) (2)
- Confluent hypergeometric functions (2008) (2)
- More on $\bf C$-fraction solutions to Riccati equations (1991) (2)
- Continued Fractions: Continued Fractions (1984) (2)
- General T—Fraction Solutions to Riccati Differential Equations (1988) (2)
- Asymptotic properties of a family of orthogonal polynomial sequences (1990) (2)
- Analytic theory of continued fractions : proceedings of a seminar-workshop held at Loen, Norway, 1981 (1982) (2)
- Convergence of PPC-continued fraction approximants in frequency analysis (2003) (2)
- Model reduction and stability of two-dimensional recursive systems (1991) (1)
- Asymptotics for Szegö polynomial zeros (1992) (1)
- A qualitative instability theory for lattice filters (1984) (1)
- Rounding error in evaluating continued fraction expansions (1974) (1)
- Continued Fractions: Periodic Continued Fractions (1984) (1)
- Asymptotics of Zeros of Orthogonal and Para-Orthogonal Szegö Polynomial in Frequency Analysis (2020) (1)
- An Application of Separate Convergence for Continued Fractions to Orthogonal Polynomials (1992) (1)
- An Alternative Way of Using Szegö Polynomials in Frequency Analysis (2020) (1)
- Moment theory and orthogonal functions (2008) (0)
- Review: Jacek Gilewicz, Approximants de Padé (1980) (0)
- Continued Fractions: Miscellaneous Results (1984) (0)
- Positive T-fraction expansions for a family of special functions (1989) (0)
- Discrete Distribution Functions for Log-Normal Moments (2020) (0)
- Atlas of Fourier Coefficients of Diurnal Variation of Fof2 (2017) (0)
- Asymptotic behavior of polynomials satisfying three-term recurrence relations (1992) (0)
- Analysis of Convergence and Truncation Error of Expansions of Functions of Aerospace Physics and Engineering. (1975) (0)
- Truncation Error Analysis of Expansions of Functions of Aerospace Physics and Engineering. (1971) (0)
- Regular Strong Hamburger Moment Problem (2020) (0)
- Continued Fractions: Introduction (1984) (0)
- Continued Fractions: Methods for Representing Analytic Functions by Continued Fractions (1984) (0)
- Truncation error bounds (2008) (0)
- Continued fraction construction (2008) (0)
- Additional Results on Minimal Solutions of Three-Term Recurrence Relations (1984) (0)
- Corrections to "Finding the poles of lattice filter" (1986) (0)
- Continued Fractions: Classification of Special Types of Continued Fractions (1984) (0)
- Continued fraction evaluation (2008) (0)
- Continued Fractions: Numerical Stability in Evaluating Continued Fractions (1984) (0)
- Continued Fractions: Representations of Analytic Functions by Continued Fractions (1984) (0)
- Best a Posteriori Truncation Error Estimates for Continued Fractions K(an/1) with Twin Element Regions (1988) (0)
- Elementary Properties of Continued Fractions (1984) (0)
- Survey Article: Continued fractions associated with Wiener-Levinson filters, frequency analysis, moment theory and polynomials orthogonal on the unit circle (2016) (0)
- Erratum: ``Duality and types of completeness in locally covex spaces''. (1966) (0)
- Contraction of the Schur algorithm for functions bounded in the unit disk (1989) (0)
- Continued Fractions: Convergence of Continued Fractions (1984) (0)
- Para-orthogonal Laurent polynomials and associated sequences of rational functions (1992) (0)
- Asymptotic Expansions and Moment Problems (1984) (0)
- Atlas of Fourier coefficients of diurnal variation of foF2. Part II, Distribution of amplitude and phase (1965) (0)
- Computation of special functions by Padé approximants with orthogonal polynomial denominators (1996) (0)
- Separate Convergence for Log-Normal Modified S-Fractions (2020) (0)
- Best Truncation Error Bounds for Continued Fractions K(1/b n , lim n → ∞ b n = ∞ (2020) (0)
- Continued Fractions: Types of Corresponding Continued Fractions and Related Algorithms (1984) (0)
- On tables and graphs (2008) (0)
- Error function and related integrals (2008) (0)
- Continued Fractions: Application of Continued Fractions to Birth-Death Processes (1984) (0)
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