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

Lekesiz, Esra; AKTAŞ, RABİA; Area, Ivan

doi:10.1007/s41980-022-00706-y

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

Lekesiz E. G., AKTAŞ R., Area I.

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

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
Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
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.