Uniform convergent expansions of integral transforms

DOI10.1090/mcom/3601zbMath1469.41012OpenAlexW3089191349MaRDI QIDQ5856746

Pedro J. Pagola, Pablo Palacios, José Luis López

Publication date: 29 March 2021

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/mcom/3601

zbMATH Keywords

integral transformsspecial functionsuniform expansionsconvergent expansions

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Remainders in approximation formulas (41A80) Numerical approximation and evaluation of special functions (33F05) General integral transforms (44A05)

Related Items (4)

An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions ⋮ Uniform convergent expansions of the error function in terms of elementary functions ⋮ Uniform approximations of the first symmetric elliptic integral in terms of elementary functions ⋮ A convergent and asymptotic Laplace method for integrals

Uses Software

• DLMF

Cites Work

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• New series expansions of the Gauss hypergeometric function
• A hybrid of Darboux's method and singularity analysis in combinatorial asymptotics
• Multi-point Taylor approximations in one-dimensional linear boundary value problems
• Convergent expansions of the Bessel functions in terms of elementary functions
• Explicit formulas associated with some families of generalized Bernoulli and Euler polynomials
• Explicit formulas for the Nörlund polynomials \(B_n^{(x)}\) and \(b_n^{(x )}\)
• On some properties of the generalized Bernoulli and Euler polynomials
• Singularity Analysis of Generating Functions
• Two‐Point Taylor Expansions of Analytic Functions
• Convergent expansions of the confluent hypergeometric functions in terms of elementary functions
• Convergent expansions of the incomplete gamma functions in terms of elementary functions
• Multi-point Taylor expansions of analytic functions
• Generalized Bernoulli polynomials and numbers, revisited

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