New identities for a sum of products of the Kummer functions

zbMath1396.33014arXiv1710.07889MaRDI QIDQ1669742

Dmitriĭ Borisovich Karp, Sergeĭ Ivanovich Kalmykov

Publication date: 4 September 2018

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07889

zbMATH Keywords

summation theoremKummer functionClausen functionhypergeometric identityduality relations for hypergeometric functions

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Confluent hypergeometric functions, Whittaker functions, ({}_1F_1) (33C15)

Related Items (4)

A new identity for the sum of products of the generalized basic hypergeometric functions ⋮ On the evaluation of an integral involving the Whittaker \(W\) function ⋮ Inequalities for some basic hypergeometric functions ⋮ A new identity for the sum of products of the generalized hypergeometric functions

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