Convergent expansions of the Bessel functions in terms of elementary functions

DOI10.1007/s10444-017-9543-yzbMath1382.33010OpenAlexW2626714861MaRDI QIDQ1696381

José Luis López

Publication date: 14 February 2018

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://hdl.handle.net/2454/31775

zbMATH Keywords

error boundsBessel functionsuniform expansionsconvergent expansions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Related Items (8)

An analytic representation of the second symmetric standard elliptic integral in terms of elementary functions ⋮ Uniform convergent expansions of the Gauss hypergeometric function in terms of elementary functions ⋮ Uniform convergent expansions of the error function in terms of elementary functions ⋮ Uniform representations of the incomplete beta function in terms of elementary functions ⋮ Convergent expansions of the confluent hypergeometric functions in terms of elementary functions ⋮ Uniform approximations of the first symmetric elliptic integral in terms of elementary functions ⋮ Uniformly convergent expansions for the generalized hypergeometric functions _p–1F_p and _pF_p ⋮ Uniform convergent expansions of integral transforms

Uses Software

• DLMF

Cites Work

• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III
• On the Sign of Lommel's Function
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