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SOME FINITE INTEGRALS INVOLVING THE PRODUCT OF BESSEL FUNCTION WITH JACOBI AND LAGUERRE POLYNOMIALS

  • Ghayasuddin, Mohd (Department of Mathematics Integral University) ;
  • Khan, Nabiullah (Department of Applied Mathematics Aligarh Muslim University) ;
  • Khan, Shorab Wali (Department of Applied Mathematics Aligarh Muslim University)
  • Received : 2017.06.05
  • Accepted : 2017.09.26
  • Published : 2018.07.31

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

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