Fourier Transform of Orthogonal Polynomials over the Triangle with Four Parameters

Authors : Esra GÜLDOĞAN

Pages : 314-320

Doi:10.47000/tjmcs.1063098

View : 15 | Download : 12

Publication Date : 2022-12-30

Article Type : Research Paper

Abstract :In this paper, some new families of orthogonal functions in two variables produced by using Fourier transform of bivariate orthogonal polynomials and their orthogonality relations obtained from Parseval identity are introduced.
Keywords : Bivariate orthogonal functions, Koornwinder polynomials, Jacobi polynomials, hypergeometric functions, Fourier transform, Parseval identity