Unified integrals involving product of multivariable polynomials and generalized Bessel functions

Abstract

The aim of this paper is to evaluate two integral formulas involving a finite product of the generalized Bessel function of the first kind and multivariable polynomial functions which results are expressed in terms of the generalized Lauricella functions. The major results presented here are of general character and easily reducible to unique and well-known integral formulae.

Keywords

• Multivariable polynomial function
• Gamma function
• generalized hypergeometric function
• generalized Lauricella functions
• Generalized Bessel function
• Oberhettinger's integral formula