Chebyshev-type matrix polynomials and integral transforms

KARGIN L., Kurt V.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.44, sa.2, ss.341-350, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 44 Sayı: 2
  • Basım Tarihi: 2015
  • Doi Numarası: 10.15672/hjms.2015449102
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.341-350
  • Anahtar Kelimeler: Chebyshev matrix polynomials of the second kind, Generating matrix function, Matrix differential equation, EXTENSION
  • Akdeniz Üniversitesi Adresli: Evet

Özet

In this study we introduce a new type generalization of Chebyshev matrix polynomials of second kind by using the integral representation. We obtain their matrix recurrence relations, matrix differential equation and generating matrix functions. We investigate operational rules associated with operators corresponding to Chebyshev-type matrix polynomials of second kind. Furthermore, in order to give qualitative properties of this integral transform, we introduce the Chebyshev-type matrix polynomials of first kind.