Fourier transforms of some special functions in terms of orthogonal polynomials on the simplex and continuous Hahn polynomials

Esra Güldoğan-Lekesiz, Rabia Aktaş, Iván Area

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 Parse…