Yayınlanmış 1 Ocak 2022 | Sürüm v1
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Fourier Transforms of Some Special Functions in Terms of Orthogonal Polynomials on the Simplex and Continuous Hahn Polynomials

  • 1. Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
  • 2. Univ Vigo, Dept Matemat Aplicada EE Aeronaut & Espazo 2, CITMAga, Campus As Lagoas Ourense, Orense 32004, Spain

Açıklama

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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