FINITE AND INFINITE INTEGRAL FORMULAS ASSOCIATED WITH A FAMILY OF INCOMPLETE I-FUNCTIONS
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:firstname.lastname@example.org, email@example.com, firstname.lastname@example.org and
(Received : October 12, 2020; Revised: November 02, 2020; In final form : June 27, 2021)
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.
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