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.
Mohd Ghayasuddin, Nabiullah Khan, Shorab Wali Khan
Integral University, Aligarh Muslim University, Aligarh Muslim University
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
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