RIORDAN GROUP APPROACHES IN MATRIX FACTORIZATIONS

Kilic E., ÖMÜR N., TATAR G.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, cilt.38, sa.2, ss.491-506, 2012 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 2
  • Basım Tarihi: 2012
  • Dergi Adı: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED)
  • Sayfa Sayıları: ss.491-506
  • Kocaeli Üniversitesi Adresli: Evet

Özet

We consider an arbitrary binary polynomial sequence {A(n)} and then give a lower triangular matrix representation of the sequence. As a result, we obtain a factorization of the infinite generalized Pascal matrix in terms of this new matrix, using a Riordan group approach. Furthermore, some interesting results and applications are given.