A NEW PROOF OF THE EXTENDED SAALSCHÜTZ'S SUMMATION THEOREM FOR THE SERIES4F3AND ITS APPLICATIONS

DOI10.5831/HMJ.2013.35.3.407zbMath1296.33008MaRDI QIDQ5408629

Purnima Chopra, Junesang Choi, Arjun K. Rathie

Publication date: 11 April 2014

Published in: Honam Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

hypergeometric seriesGeneralized hypergeometric seriesSaalschütz's summation theoremRamanujan's formulas

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

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An alternative proof of the extended Saalschütz summation theorem for the _{r + 3} F _{r + 2} (1) series with applications ⋮ Variations on a hypergeometric theme

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