Jñānābha‎, Vol. 50 (2) (2020), (59-62)

ON INTEGRALS INVOLVING A PRODUCT OF EXTENDED BESSEL MAITLAND FUNCTION AND I*- FUNCTION

 

By

Prachi Jain, V. P. Saxena and Arvind Gupta*

Sagar Institute of Research, Technology and Science

Ayodhya Bye-pass Road, Bhopal - 462041, Madhya Pradesh, India

*Department of Mathematics

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

Email: prachi.jain2804@gmail.com, vinodpsaxena@gmail.com and arvind533@yahoo.com

(Received: May 01, 2020; Revised: June 03, 2020)

 

 

 The object of this paper is to establish some interesting integrals involving the product of extended Bessel-Maitland function and I*- function and then, express them in terms of extended I*- function. Further some special cases of our results are also deduced.

 

2010 Mathematics Subject Classifications: 33C60, 33C45.

Keywords and phrases: I*-function, Wright’s generalized Bessel-Maitland function, I-function, definite integrals.