An alternative proof of the extended Saalschütz summation theorem for the r + 3 F r + 2 (1) series with

DOI10.1002/mma.3408zbMath1347.33015arXiv1312.0063OpenAlexW2962924100MaRDI QIDQ2795258

Yong Sup Kim, Arjun K. Rathie, Richard B. Paris

Publication date: 18 March 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1312.0063

zbMATH Keywords

generalized hypergeometric seriesKampé de Fériet functionSaalschütz summation theoremVandermonde-Chu summation formula

Mathematics Subject Classification ID

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

Related Items (1)

Degenerate Miller-Paris transformations

Cites Work

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• Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan's summations
• Euler-type transformations for the generalized hypergeometric function \(_{r+2} F _{r+1}(x)\)
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• On the reducibility of the Kampé de Fériet function
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• Certain summation and transformation formulas for generalized hypergeometric series
• An extension of Saalschütz's summation theorem for the series_r+3F_r+2
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• Karlsson–Minton summation theorems for the generalized hypergeometric series of unit argument
• A NEW PROOF OF THE EXTENDED SAALSCHÜTZ'S SUMMATION THEOREM FOR THE SERIES₄F₃AND ITS APPLICATIONS
• Generalized Hypergeometric Function of Unit Argument

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