Fourier transform of biorthogonal polynomials in one variable*

Güldoğan Lekesız E., ÇEKİM B.

Integral Transforms and Special Functions, cilt.36, sa.2, ss.145-162, 2025 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Derleme
  • Cilt numarası: 36 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/10652469.2024.2399520
  • 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.145-162
  • Anahtar Kelimeler: Biorthogonal polynomials, Fourier transform, Jacobi polynomials, Laguerre polynomials, Parseval identity, Szegö–Hermite polynomials
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, some new families of biorthogonal functions in one variable produced by using Fourier transforms of biorthogonal polynomials, which are suggested by Laguerre, Jacobi and Szegö–Hermite polynomials, and their orthogonality relations obtained via Parseval identity are derived.