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<p>The purpose of this paper is to obtain Fourier transforms of multivariate orthogonal polynomials on the cone such as Laguerre polynomials on the cone and Jacobi polynomials on the cone and to define two new families of multivariate orthogonal functions by using Parseval’s identity. Also, the obtained results are expressed in terms of the continuous Hahn polynomials.</p>

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Fourier transforms of orthogonal polynomials on the cone

  • 期刊论文

  • 发表日期：

    2025年5月31日

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  • Rabia Aktaş Karaman,
  • Iván Area

摘要

The purpose of this paper is to obtain Fourier transforms of multivariate orthogonal polynomials on the cone such as Laguerre polynomials on the cone and Jacobi polynomials on the cone and to define two new families of multivariate orthogonal functions by using Parseval’s identity. Also, the obtained results are expressed in terms of the continuous Hahn polynomials.