Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials
arXiv:2101.04059
Abstract
In this paper Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained by using the Parseval's identity and several recurrence relations are derived.
24 pages