A generalization of a formula due to Kummer†

DOI10.1080/10652469.2011.588786zbMath1241.33009OpenAlexW2108978939MaRDI QIDQ3107308

Arjun K. Rathie, Junesang Choi, Hari M. Srivastava

Publication date: 23 December 2011

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

Full work available at URL: https://doi.org/10.1080/10652469.2011.588786

zbMATH Keywords

Kummer's formulaGauss's hypergeometric functionGauss's summation theoremKummer's summation theoremhypergeometric functions in one, two and more variables

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Classical hypergeometric functions, ({}_2F_1) (33C05) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20)

Related Items (6)

Some unified and generalized Kummer's first summation theorems with applications in Laplace transform technique ⋮ Reduction formulae for the Lauricella functions in several variables ⋮ Some results for terminating \({}_2F_1(2)\) series ⋮ Evaluations of some terminating hypergeometric 2 F 1 (2) series with applications ⋮ Extension of some classical summation theorems for the generalized hypergeometric series with integral parameter differences ⋮ Generalizations of a formula due to Kummer with applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On hyperbolic 3-manifolds obtained by Dehn surgery on links
• A generalization of Kummer's identity.
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• A NOTE ON GAUSS'S SECOND SUMMATION THEOREM FOR THE SERIES₂F₁(1/2)
• A study of new hypergeometric transformations
• NOTES ON FORMAL MANIPULATIONS OF DOUBLE SERIES

This page was built for publication: A generalization of a formula due to Kummer^†