Fourier Transform of Orthogonal Polynomials over the Triangle with Four Parameters

Year 2022, Volume: 14 Issue: 2, 314 - 320, 30.12.2022

Esra Güldoğan

https://doi.org/10.47000/tjmcs.1063098

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

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