On Summations of Generalized Hypergeometric Functions with Integral Parameter Differences

In this paper, we present an extension of the Karlsson–Minton summation formula for a generalized hypergeometric function with integral parameter differences. Namely, we extend one single negative difference in Karlsson–Minton formula to a finite number of integral negative differences, some of whic...

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Vydané v:	Mathematics (Basel) Ročník 12; číslo 11; s. 1656
Hlavní autori:	Bakhtin, Kirill, Prilepkina, Elena
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Basel MDPI AG 01.06.2024
Predmet:	Distributions, Theory of (Functional analysis) Euler–Pfaff type transformations Functions, Hypergeometric generalized hypergeometric function Hypergeometric functions hypergeometric identity Integrals Mathematical research Methods Miller–Paris transformations Parameter estimation Parameters summation formulas Russia
ISSN:	2227-7390, 2227-7390
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