ON A UNIFIED OBERHETTINGER-TYPE INTEGRAL INVOLVING THE PRODUCT OF BESSEL FUNCTIONS AND SRIVASTAVA POLYNOMIALS
By
S. C. Pandey and K. Chaudhary
Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai, Rajasthan, India-304022
Email: sharedpandey@yahoo.co.in, koshi1340@gmail.com
(Received : October 07, 2022; In format: November 14, 2022; Revised: April 06, 2023; Accepted: April 08, 2023)
DOI: https://doi.org/10.58250/jnanabha.2023.53126
Abstract
The present paper is devoted to derive a generalized Oberhettinger-type integral formula. The derived form of the integral involves a finite product of the Srivastava polynomials with the first-kind Bessel functions. The outcomes are obtained in terms of the Srivastava and Daoust functions. Some of the significant particular cases are also determined.
2020 Mathematical Sciences Classification: 33C10, 33C20, 44A20.
Keywords and Phrases: Bessel function, Hypergeometric functions, Integral transforms.