Asymptotic expansions of Kummer hypergeometric functions with three asymptotic parameters \(a\), \(b\) and \(z\)

DOI10.1016/j.indag.2022.08.001zbMath1502.33003arXiv2202.12857OpenAlexW4292117280MaRDI QIDQ2088116

E. J. M. Veling, Nico M. Temme

Publication date: 21 October 2022

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.12857

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)

Related Items (2)

Computation of the confluent hypergeometric function \(U(a,b,x)\) and its derivative for positive arguments ⋮ Average spectral density of multiparametric Gaussian ensembles of complex matrices

Uses Software

• DLMF

Cites Work

• Asymptotic Methods for Integrals
• Laplace type integrals: transformation to standard form and uniform asymptotic expansions
• Uniform Asymptotic Expansions for Whittaker’s Confluent Hypergeometric Functions
• Whittaker functions with both parameters large: uniform approximations in terms of parabolic cylinder functions
• Computing Hypergeometric Functions Rigorously
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