Fourier Transforms of Some Finite Bivariate Orthogonal Polynomials

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Guldogan Lekesiz E., AKTAŞ R., Masjed-Jamei M.

SYMMETRY-BASEL, cilt.13, sa.3, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 3
  • Basım Tarihi: 2021
  • Doi Numarası: 10.3390/sym13030452
  • Dergi Adı: SYMMETRY-BASEL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Anahtar Kelimeler: bivariate orthogonal functions, Fourier transform, parseval identity, hypergeometric functions
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper, we first obtain the Fourier transforms of some finite bivariate orthogonal polynomials and then by using the Parseval identity, we introduce some new families of bivariate orthogonal functions.