Asymptotic expansions of Kummer hypergeometric functions for large values of the parameters

DOI10.1080/10652469.2021.1886094zbMath1500.41010arXiv2008.01601OpenAlexW3132771660MaRDI QIDQ5029038

Nico M. Temme

Publication date: 11 February 2022

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

Full work available at URL: https://arxiv.org/abs/2008.01601

zbMATH Keywords

asymptotic expansionsconfluent hypergeometric functionsKummer functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Uses Software

• DLMF

Cites Work

• On the Lambert \(w\) function
• Asymptotic Methods for Integrals
• UNIFORM ASYMPTOTIC EXPANSIONS FOR HYPERGEOMETRIC FUNCTIONS WITH LARGE PARAMETERS III
• Laplace type integrals: transformation to standard form and uniform asymptotic expansions

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