Uniformly convergent expansions for the generalized hypergeometric functions p–1Fp and pFp

DOI10.1080/10652469.2020.1752687zbMath1476.33004arXiv1812.07950OpenAlexW3020792325MaRDI QIDQ4987029

Pedro J. Pagola, Dmitriĭ Borisovich Karp, José Luis López

Publication date: 28 April 2021

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1812.07950

zbMATH Keywords

generalized hypergeometric functionBessel functionKummer functionuniform expansionsconvergent expansions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Remainders in approximation formulas (41A80)

Related Items (2)

Hypergeometric functions at unit argument: simple derivation of old and new identities ⋮ Uniform convergent expansions of the error function in terms of elementary functions

Uses Software

• DLMF

Cites Work

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• Singularity Analysis of Generating 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
• Special Functions and Orthogonal Polynomials

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