Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2018; 33(3): 1013-1024

Online first article March 7, 2018      Printed July 31, 2018

https://doi.org/10.4134/CKMS.c170237

Copyright © The Korean Mathematical Society.

Some finite integrals involving the product of Bessel function with Jacobi and Laguerre polynomials

Mohd Ghayasuddin, Nabiullah Khan, Shorab Wali Khan

Integral University, Aligarh Muslim University, Aligarh Muslim University

Abstract

The main object of this paper is to set up two (conceivably) valuable double integrals including the multiplication of Bessel function with Jacobi and Laguerre polynomials, which are given in terms of Srivastava and Daoust functions. By virtue of the most broad nature of the function included therein, our primary findings are equipped for yielding an extensive number of (presumably new) fascinating and helpful results involving orthogonal polynomials, Whittaker functions, sine and cosine functions.

Keywords: Whittaker function, Jacobi polynomial, Laguerre polynomial, Bessel function

MSC numbers: Primary 33C15, 33C45, 33C10