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EVALUATION OF INTEGRAL FORMULAS ASSOCIATED WITH THE PRODUCT OF GENERALIZED BESSEL FUNCTION WITH ORTHOGONAL POLYNOMIALS

Khan, Nabiullah;Nadeem, Raghib;Usman, Talha;Khan, Abdul Hakim

  • Received : 2018.07.15
  • Accepted : 2019.01.21
  • Published : 2019.03.25

Abstract

In the last decades, various integral formulas associated with Bessel functions of different kinds as well as Bessel functions themselves, have been studied and a noteworthy amount of work can be found in the literature. Following up, we present two definite integral formulas involving the product of generalized Bessel function associated with orthogonal polynomials. Also, some intriguing special cases of our main results have been discussed.

Keywords

Generalized Bessel function;Orthogonal polynomials;Integral representation