Integrals involving generalized multi-index Bessel functions and general class of polynomials

  • A.M. Mishra
  • M. Bohra
  • S.D. Purohit
  • D. Kumar
  • J. Singh

Abstract

In this article, we have evaluated four integrals in the form of theorems based on multi-index Bessel's function and general class of polynomials, that is, Srivastava's polynomial. These theorems provide integral value of product of multi-index Bessel's function and classical orthogonal polynomials like Hermite polynomials, the Laguerre polynomials and the Jacobi polynomials together with suitable power function. These theorems are reducible to known results in literature which have been stated as corollaries.

Published
2020-05-25