Title of article :
Fourier Transforms of Some Special Functions in Terms of Orthogonal Polynomials on the Simplex and Continuous Hahn Polynomials
Author/Authors :
Lekesiz ، Esra Güldoğan Department of Mathematics - Faculty of Science - Ankara University , Aktaş ، Rabia Department of Mathematics - Faculty of Science - Ankara University , Area ، Iván Departamento de Matemática Aplicada II - E.E. Aeronáutica e doEspazo - Universidade de Vigo
Abstract :
In this paper, Fourier transform of multivariate orthogonal polynomials on the simplex is presented. A new family of multivariate orthogonal functions is obtained using the Parseval’s identity and several recurrence relations are derived.
Keywords :
Jacobi polynomials , Multivariate orthogonal polynomials , Hahn polynomials , Fourier transform , Parseval identity , Hypergeometric function , Recurrence relation
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
