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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Bibliographic Details

Published in:	Mathematics (Basel) Vol. 12; no. 11; p. 1656
Main Authors:	Bakhtin, Kirill, Prilepkina, Elena
Format:	Journal Article
Language:	English
Published:	Basel MDPI AG 01.06.2024
Subjects:	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
Online Access:	Get full text
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