Convergence of Magnus integral addition theorems for confluent hypergeometric functions

DOI10.1080/10652469.2016.1198792zbMath1414.33008arXiv1601.02566OpenAlexW2233358438MaRDI QIDQ5506796

Jessica E. Hirtenstein, Howard S. Cohl, Hans W. Volkmer

Publication date: 16 December 2016

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

Full work available at URL: https://arxiv.org/abs/1601.02566

zbMATH Keywords

Bessel functionsconfluent hypergeometric functionsintegral addition theoremsmodified parabolic cylinder functions

Mathematics Subject Classification ID

Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

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Uses Software

• DLMF

Cites Work

• Eigenfunction expansions for a fundamental solution of Laplace’s equation onR³in parabolic and elliptic cylinder coordinates
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