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

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Lekesiz E. G., AKTAŞ R., Area I.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.48, sa.6, ss.3535-3560, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 48 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s41980-022-00706-y
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), MathSciNet, zbMATH
  • Sayfa Sayıları: ss.3535-3560
  • Anahtar Kelimeler: Jacobi polynomials, Multivariate orthogonal polynomials, Hahn polynomials, Fourier transform, Parseval identity, Hypergeometric function, Recurrence relation, FINITE CLASSES, ASKEY TABLEAU, JACOBI
  • Ankara Üniversitesi Adresli: Evet

Özet

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.