SOME RELATIONS SATISFIED BY ORTHOGONAL MATRIX POLYNOMIALS

ÇEKİM B., Altin A., AKTAŞ R.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.40, sa.2, ss.241-253, 2011 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 40 Sayı: 2
  • Basım Tarihi: 2011
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.241-253
  • Anahtar Kelimeler: Laguerre matrix polynomials, Hermite matrix polynomials, Gegenbauer matrix polynomials, Power series, Raising operator, DIFFERENTIAL-EQUATIONS
  • Ankara Üniversitesi Adresli: Evet

Özet

The main purpose of this paper is to obtain some properties of orthogonal matrix polynomials. We derive identities for power series satisfied by Laguerre, Hermite and Gegenbauer matrix polynomials. Furthermore, for these matrix polynomials, we give raising operators.