Convergent expansions of the confluent hypergeometric functions in terms of elementary functions

DOI10.1090/mcom/3389zbMath1410.33021OpenAlexW2884017821MaRDI QIDQ4629376

B. Bujanda, Pedro J. Pagola, José Luis López

Publication date: 22 March 2019

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

Full work available at URL: https://doi.org/10.1090/mcom/3389

zbMATH Keywords

confluent hypergeometric functionsuniform expansionsconvergent expansions

Mathematics Subject Classification ID

Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (6)

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 ⋮ Uniformly convergent expansions for the generalized hypergeometric functions _p–1F_p and _pF_p ⋮ Uniform convergent expansions of integral transforms ⋮ On bounds for Kummer’s function ratio

Uses Software

• DLMF

Cites Work

• Unnamed Item
• New series expansions for the confluent hypergeometric function \(M(a,b,z)\)
• Convergent expansions of the Bessel functions in terms of elementary functions
• Large parameter cases of the Gauss hypergeometric function
• Convergent expansions of the incomplete gamma functions in terms of elementary functions
• Computing the confluent hypergeometric function, \(M(a,b,x)\)

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