Applications of the generalized Kummer's summation theorem to transformation formulas and generating functions

DOI10.21042/AMNS.2018.2.00026WikidataQ128778525 ScholiaQ128778525MaRDI QIDQ2690602

Hussein Saleh Bellehaj, Ahmed Ali Atash

Publication date: 17 March 2023

Published in: Applied Mathematics and Nonlinear Sciences (Search for Journal in Brave)

zbMATH Keywords

generating functionsJacobi polynomialstransformation formulasSaran functionsExton functionsgeneralized Kummer's theorem

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Gamma, beta and polygamma functions (33B15) Classical hypergeometric functions, ({}_2F_1) (33C05)

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Cites Work

• Generalizations of Whipple's theorem on the sum of a \({}_ 3 F_ 2\)
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