ON CERTAIN FINITE INTEGRAL FORMULAS PERTAINING TO THE pRq(ρ, σ; z) FUNCTION AND THE SRIVASTAVA POLYNOMIAL
By
S. C. Pandey and S. Tiwari
Faculty of Mathematics and Computing, Department of Mathematics and Statistics, Banasthali Vidyapith, Niwai, Rajasthan, India-304022
Email: sharedpandey@yahoo.co.in, sameekshabanasthaliu@gmail.com
(Received: February 15, 2024; In format: July 19, 2024; Revised: October 04, 2024; Accepted November 20, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54224
Abstract
The aim of the present paper is to obtain certain finite integral formulas using a combination of the pRq(ρ, σ; z) function and the Srivastava polynomial. The outcomes are expressed in terms of the generalized Wright hypergeometric function. Some of the corollaries based on the main results are also derived in terms of the generalized Wright hypergeometric function in the present investigation.
2020 Mathematical Sciences Classification: 33C10, 33C20, 33C45
Keywords: Bessel function, Generalized hypergeometric function, Srivastava polynomial.