The Generalized Finite Bivariate Biorthogonal M-Jacobi Polynomials

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

8th International conference Approximation Theory and Special Functions, ATSF 2024, Ankara, Türkiye, 4 - 07 Eylül 2024, cilt.503 PROMS, ss.465-483, (Tam Metin Bildiri) identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 503 PROMS
  • Doi Numarası: 10.1007/978-3-031-93279-3_25
  • Basıldığı Şehir: Ankara
  • Basıldığı Ülke: Türkiye
  • Sayfa Sayıları: ss.465-483
  • Anahtar Kelimeler: Biorthogonal polynomial, Finite orthogonal polynomial, Fourier transform, Jacobi polynomial, Limit relation
  • Gazi Üniversitesi Adresli: Evet

Özet

We introduce the finite bivariate biorthogonal M-Jacobi polynomials with the help of the finite orthogonal M polynomials and the biorthogonal polynomials suggested by the Jacobi polynomials. Then, by adding two further parameters the generalized finite bivariate biorthogonal M-Jacobi polynomials are defined, and a set of finite bivariate biorthogonal functions is obtained using this generalized polynomials. On the other hand, we investigate some relationships between these polynomials and recently defined families and give some recurrence relations.