FINITE AND INFINITE INTEGRAL FORMULAS ASSOCIATED WITH A FAMILY OF INCOMPLETE I-FUNCTIONS

By

Prachi Jain¹ , Neena Gupta² , Arvind Gupta³ and V. P. Saxena⁴

¹Motilal Vigyan Mahavidyalaya, Bhopal -462008, Madhya Pradesh, India.

²Career College, Bhopal -462023, Madhya Pradesh, India.

³Motilal Vigyan Mahavidyalaya, Bhopal -462008, Madhya Pradesh, India.

⁴Sagar Institute of Research, Technology and Science, Ayodhya Bye-pass Road, Bhopal -462041, Madhya Pradesh, India. Email:prachi.jain2804@gmail.com, gneena33@gmail.com, arvind533@yahoo.com and

vinodpsaxena@gmail.com

(Received : October 12, 2020; Revised: November 02, 2020; In final form : June 27, 2021)

DOI: https://doi.org/10.58250/Jnanabha.2021.51124

Abstract

In recent years, research focuses on the integral representations of several kinds of special functions. In this paper, first we establish the integral representation of incomplete I-functions. Further, we find out some special cases of these integrals. Finally, we derived certain integrals involving a product of incomplete I-function and some other special functions.

2010 Mathematics Subject Classifications: 33E20, 44A40.

Keywords and phrases: Incomplete I-functions; Incomplete Gamma functions and Mellin-Barnes type integral.

[Download full paper]