Finite bivariate biorthogonal N–Konhauser polynomials

Güldoğan Lekesiz E., ÇEKİM B., Özarslan M.

Journal of Difference Equations and Applications, cilt.31, sa.9, ss.1237-1262, 2025 (SCI-Expanded, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 9
  • Basım Tarihi: 2025
  • Doi Numarası: 10.1080/10236198.2025.2522094
  • Dergi Adı: Journal of Difference Equations and Applications
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.1237-1262
  • Anahtar Kelimeler: Biorthogonal polynomial, finite orthogonal polynomial, fractional calculus, generating function, Konhauser polynomial, partial differential equation
  • Gazi Üniversitesi Adresli: Evet

Özet

A new set of finite 2D biorthogonal polynomials is defined using the finite orthogonal polynomials (Formula presented.) and Konhauser polynomials. We present a connection between this finite 2D biorthogonal set and the generalized Laguerre-Konhauser polynomials. Also, we obtain several applications of finite bivariate biorthogonal N–Konhauser polynomials.