EXTENDED JACOBI MATRIX POLYNOMIALS

AKTAŞ R., ÇEKİM B., Cevik A.

UTILITAS MATHEMATICA, cilt.92, ss.47-64, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 92
  • Basım Tarihi: 2013
  • Dergi Adı: UTILITAS MATHEMATICA
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.47-64
  • Anahtar Kelimeler: Jacobi matrix polynomials, Hypergeometric matrix function, Rodrigues formula, Generating matrix function, Recurrence relation, DIFFERENTIAL-EQUATIONS, EXTENSION
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, extended Jacobi matrix polynomials (EJMPs) are introduced. The matrix differential equation satisfied by them is given. A Rodrigues formula, orthogonality, linear generating matrix functions and recurrence relations are presented for these matrix polynomials. Furthermore, general families of multilinear and multilateral generating matrix functions are obtained and their applications are presented.