Fourier transforms of orthogonal polynomials on the cone

AKTAŞ KARAMAN R., Area I.

Numerical Algorithms, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1007/s11075-025-02112-x
  • Dergi Adı: Numerical Algorithms
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, MathSciNet, zbMATH, DIALNET
  • Anahtar Kelimeler: Fourier transform, Gegenbauer polynomials, Hahn polynomials, Hypergeometric function, Laguerre polynomials, Multivariate orthogonal polynomials, Parseval’s identity
  • Ankara Üniversitesi Adresli: Evet

Özet

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.