Six unified results for reducibility of the Srivastava's triple hypergeometric series H_A

DOI10.22436/JNSA.010.06.18zbMath1412.33021OpenAlexW2625634141MaRDI QIDQ4631216

Junesang Choi, Arjun K. Rathie

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.06.18

zbMATH Keywords

generalized hypergeometric functionhypergeometric functionGamma functionsummation theoremsAppell's function \(F_1\)triple hypergeometric series \(H_A\)

Mathematics Subject Classification ID

Other hypergeometric functions and integrals in several variables (33C70) Hypergeometric integrals and functions defined by them ((E), (G), (H) and (I) functions) (33C60) Classical hypergeometric functions, ({}_2F_1) (33C05) Appell, Horn and Lauricella functions (33C65)

Cites Work

• Further results on Srivastava's triple hypergeometric series \(H_A\) and \(H_C\)
• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
• SUMMATION FORMULAS DERIVED FROM THE SRIVASTAVA'S TRIPLE HYPERGEOMETRIC SERIES H_C
• Generalizations of classical summation theorems for the series₂F₁and₃F₂with applications
• Generalizations of Dixon's Theorem on the Sum of A 3 F 2
• NOTE ON SRIVASTAVA'S TRIFLE HYPERGEOMETRIC SERIES H_AAND H_C
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