Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2022; 37(1): 207-212

Online first article July 26, 2021      Printed January 31, 2022

https://doi.org/10.4134/CKMS.c210038

Copyright © The Korean Mathematical Society.

On an integral involving ={I}-function

Vilma D'Souza, Shantha Kumari Kurumujji

(Affiliated to Visvesvaraya Technological University - Belagavi); (Affiliated to Visvesvaraya Technological University - Belagavi)

Abstract

In this paper, an interesting integral involving the ={I}-function of one variable introduced by Rathie has been derived. Since ={I}-function is a very generalized function of one variable and includes as special cases many of the known functions appearing in the literature, a number of integrals can be obtained by reducing the ={I} function of one variable to simpler special functions by suitably specializing the parameters. A few special cases of our main results are also discussed.

Keywords: I-function, ={I}-function, Mellin-Barnes contour integral, H-function, double integral

MSC numbers: Primary 33C20, 33C60

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