Some classes of special functions using Fourier transforms of some two-Variable orthogonal polynomials

Guldogan E., AKTAŞ R., Area I.

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, cilt.31, sa.6, ss.437-470, 2020 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 6
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1080/10652469.2019.1700411
  • Dergi Adı: INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.437-470
  • Anahtar Kelimeler: Bivariate orthogonal functions, Jacobi polynomials, Laguerre polynomials, Fourier transform, Parseval identity, hypergeometric functions, recurrence relation, FINITE CLASSES, NUMERICAL IMPROVEMENT, HYPERGEOMETRIC TYPE, ERROR-BOUNDS, JACOBI, EQUATIONS
  • Ankara Üniversitesi Adresli: Evet

Özet

In this paper some new classes of two-variable orthogonal functions by using Fourier transforms of two-variable orthogonal polynomials are introduced. Orthogonality relations are obtained by using the Parseval identity. Recurrence relations for new families of orthogonal functions are also presented.