An extension of Saalschütz's summation theorem for the seriesr+3Fr+2

DOI10.1080/10652469.2013.777721zbMath1286.33006OpenAlexW2008580964MaRDI QIDQ2867919

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

Publication date: 20 December 2013

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2013.777721

zbMATH Keywords

generalized hypergeometric seriesSaalschütz's theorem

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05)

Related Items (5)

An alternative proof of the extended Saalschütz summation theorem for the _{r + 3} F _{r + 2} (1) series with applications ⋮ Further applications of the \(G\) function integral method ⋮ Extensions of the classical theorems for very well-poised hypergeometric functions ⋮ Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences ⋮ Erdélyi-type integrals for generalized hypergeometric functions with integral parameter differences

Cites Work

• Euler-type transformations for the generalized hypergeometric function \(_{r+2} F _{r+1}(x)\)
• A generalization of Kummer's identity.
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• Transformation formulas for the generalized hypergeometric function with integral parameter differences
• EXTENSIONS OF EULER TYPE II TRANSFORMATION AND SAALSCHÜTZ'S THEOREM
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• A summation formula for Clausen's series₃F₂(1) with an application to Goursat's function₂F₂(x)

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