4.2 Article

Fourier Transforms of Some Special Functions in Terms of Orthogonal Polynomials on the Simplex and Continuous Hahn Polynomials

期刊

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
卷 48, 期 6, 页码 3535-3560

出版社

SPRINGER SINGAPORE PTE LTD
DOI: 10.1007/s41980-022-00706-y

关键词

Jacobi polynomials; Multivariate orthogonal polynomials; Hahn polynomials; Fourier transform; Parseval identity; Hypergeometric function; Recurrence relation

资金

  1. TUBITAK Research Grant [120F140]
  2. Agencia Estatal de Investigacion (AEI) of Spain [PID2020-113275GB-I00]
  3. European Community fund FEDER

向作者/读者索取更多资源

This paper presents the Fourier transform of multivariate orthogonal polynomials on the simplex. A new family of multivariate orthogonal functions is obtained using the Parseval's identity, and several recurrence relations are derived.
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.

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