The asymptotic expansion of Kummer functions for large values of the \(a\)-parameter, and remarks on a paper by Olver

DOI10.3842/SIGMA.2016.046zbMath1339.33008arXiv1601.02263OpenAlexW2237744484MaRDI QIDQ288693

Hans W. Volkmer

Publication date: 27 May 2016

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02263

zbMATH Keywords

asymptotic expansionsKummer functions

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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Cites Work

• The asymptotic solution of linear differential equations of the second order for large values of a parameter
• Convergence of Magnus integral addition theorems for confluent hypergeometric functions
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