A Generalization of the Extended Jacobi Polynomials in Two Variables

AKTAŞ R., DUMAN E.

GAZI UNIVERSITY JOURNAL OF SCIENCE, cilt.28, sa.3, ss.503-521, 2015 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 3
  • Basım Tarihi: 2015
  • Dergi Adı: GAZI UNIVERSITY JOURNAL OF SCIENCE
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus
  • Sayfa Sayıları: ss.503-521
  • Anahtar Kelimeler: Extended Jacobi polynomials, Jacobi polynomials, recurrence relation, generating function, hypergeometric function
  • Ankara Üniversitesi Adresli: Evet

Özet

The main object of this paper is to construct a two-variable analogue of extended Jacobi polynomials and to give some properties of these polynomials. We obtain various differential formulae for two-variable extended Jacobi polynomials and give recurrence relations involving these polynomials. We derive various families of bilinear and bilateral generating functions. Furthermore, some special cases of the results are presented in this