Hypergeometric \({}_4F_3(1)\) with integral parameter differences

DOI10.1134/S1995080222090128MaRDI QIDQ2095809

Elena G. Prilepkina, Dmitriĭ Borisovich Karp

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.04388

zbMATH Keywords

generalized hypergeometric functionpsi-seriessummation formulahypergeometric identityintegral parameter difference

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20)

Cites Work

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• Elementary derivations of identities for bilateral basic hypergeometric series
• The Clausenian hypergeometric function \({}_3 F_2\) with unit argument and negative integral parameter differences
• Three-term relations for \(_3F_2(1)\)
• Degenerate Miller-Paris transformations
• Alternative Approach to Miller-Paris Transformations and Their Extensions
• Closed-form summations of certain hypergeometric-type series containing the digamma function
• Summation Formulas for Basic Hypergeometric Series
• Partial fractions and bilateral summations
• Extensions of Karlsson–Minton summation theorem and some consequences of the first Miller–Paris transformation
• Generalized Hypergeometric Function of Unit Argument
• Hypergeometric Functions with Integral Parameter Differences

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