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On Certain Integrals Related to Saran's Hypergeometric Function F K.

Authors :
Luo, Minjie
Xu, Minghui
Raina, Ravinder Krishna
Source :
Fractal & Fractional. Mar2022, Vol. 6 Issue 3, p155-155. 16p.
Publication Year :
2022

Abstract

In the present paper, we establish two Erdélyi-type integrals for Saran's hypergeometric function F K , which has applications in specific branches of applied physics and statistics (see below). We employ methods based on the k-dimensional fractional integration by parts to obtain our main integral identities. The first integral generalizes Koschmieder's result and the second integral extends one of Erdélyi's classical hypergeometric integral. Some useful special cases and important remarks are also discussed. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
6
Issue :
3
Database :
Academic Search Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
156001991
Full Text :
https://doi.org/10.3390/fractalfract6030155