Integral representations for the product of certain polynomials of two variables

Abstract

The main object of this paper is to investigate several integral representations for the product of two polynomials of two variables, e.g. Laguerre, Jacobi, Generalized Bessel, Generalized Rice, Krawtchouk, Meixner, Gottlieb and Poisson–Charlier polynomials of two variables.

Keywords

• Laguerre polynomials of two variables
• Jacobi polynomials of two variables
• Generalized Bessel polynomials of two variables
• Generalized Rice polynomials of two variables
• Krawtchouk polynomials of two variables
• Meixner polynomials of two variables
• Gottlieb polynomials of two variables
• Poisson–Charlier polynomials of two variables