Generalization of a summation formula due to fox

DOI10.1016/J.JOEMS.2013.04.002zbMath1280.33004OpenAlexW1966732839MaRDI QIDQ392309

Medhat A. Rakha, Mohamed M. Awad, Arjun K. Rathie

Publication date: 13 January 2014

Published in: Journal of the Egyptian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.joems.2013.04.002

zbMATH Keywords

generalized hypergeometric functionsFox's summation formulaGauss's second summation theorem

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Cites Work

• Extensions of certain classical summation theorems for the series \(_2F_1\), \(_3F_2\) and with applications in Ramanujan's summations
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• Certain transformations and summations for generalized hypergeometric series with integral parameter differences
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
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