Published January 1, 2020 | Version v1
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Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials

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

Description

In this paper some new classes of two-variable orthogonal functions by using Fourier transforms of two-variable orthogonal polynomials are introduced. Orthogonality relations are obtained by using the Parseval identity. Recurrence relations for new families of orthogonal functions are also presented.

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