About integral product formula for Jack polynomials of two variables
B\'echir Amri
TL;DR
This paper introduces an integral product formula for Jack polynomials in two variables, extending existing formulas for zonal polynomials and offering a new approach to representing the generalized Bessel function of type B2.
Contribution
It extends the integral product formula to Jack polynomials of two variables, providing a novel method for explicit integral representation of certain generalized Bessel functions.
Findings
Derived an integral product formula for two-variable Jack polynomials.
Extended the formula from zonal polynomials to Jack polynomials.
Facilitated new explicit integral representations for generalized Bessel functions.
Abstract
We present an integral product formula for Jack polynomials of two variables, extending that of zonal polynomials. It provides another way to find the explicit integral representation for the generalized Bessel function of type , as presented in \cite{D}.
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Taxonomy
TopicsNonlinear Waves and Solitons · Mathematical functions and polynomials · Fractional Differential Equations Solutions