NDLI: Generalized Summation Formulas for the Kampé de Fériet Function

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Generalized Summation Formulas for the Kampé de Fériet Function

Content Provider	MDPI
Author	Gradimir, V. Milovanović Choi, Junesang Rathie, Arjun K.
Copyright Year	2021
Description	By employing two well-known Euler’s transformations for the hypergeometric function $2F1$ , Liu and Wang established numerous general transformation and reduction formulas for the Kampé de Fériet function and deduced many new summation formulas for the Kampé de Fériet function with the aid of classical summation theorems for the $2F1$ due to Kummer, Gauss and Bailey. Here, by making a fundamental use of the above-mentioned reduction formulas, we aim to establish 32 general summation formulas for the Kampé de Fériet function with the help of generalizations of the above-referred summation formulas for the $2F1$ due to Kummer, Gauss and Bailey. Relevant connections of some particular cases of our main identities, among numerous ones, with those known formulas are explicitly indicated.
Starting Page	318
e-ISSN	20751680
DOI	10.3390/axioms10040318
Journal	Axioms
Issue Number	4
Volume Number	10
Language	English
Publisher	MDPI
Publisher Date	2021-11-25
Access Restriction	Open
Subject Keyword	Axioms Mathematical Physics Gamma Function Pochhammer Symbol Gauss's Hypergeometric Function 2f1 Generalized Hypergeometric Function Pfq Kampé De Fériet Function Generalization of Kummer's Summation Theorem Generalization of Gauss' Second Summation Theorem Generalization of Bailey's Summation Theorem
Content Type	Text
Resource Type	Article

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