A study of new hypergeometric transformations

DOI10.1088/1751-8113/41/44/445202zbMath1157.33003OpenAlexW2014106868MaRDI QIDQ3544823

Medhat A. Rakha, Arjun K. Rathie

Publication date: 8 December 2008

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/41/44/445202

zbMATH Keywords

generalized hypergeometric functionidentitysummation formulatransformation formula

Mathematics Subject Classification ID

Generalized hypergeometric series, ({}_pF_q) (33C20) Applications of hypergeometric functions (33C90)

Related Items (8)

The Clausenian hypergeometric function \({}_3 F_2\) with unit argument and negative integral parameter differences ⋮ A new hypergeometric transformation of the Rathie-Rakha type ⋮ A note on certain summations due to Ramanujan with application and generalization ⋮ M. Jackson's bilateral \(_{3} H _{3}\)-series and extension with integer parameters ⋮ Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications ⋮ A generalization of a formula due to Kummer^† ⋮ Analytical formulae for extended $_{3}F_{2}$-series of Watson–Whipple–Dixon with two extra integer parameters ⋮ Some summation theorems for Clausen's hypergeometric functions with unit argument

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