RIORDAN GROUP APPROACHES IN MATRIX FACTORIZATIONS

Kilic E., ÖMÜR N., TATAR G.

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol.38, no.2, pp.491-506, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 38 Issue: 2
  • Publication Date: 2012
  • Journal Name: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED)
  • Page Numbers: pp.491-506
  • Kocaeli University Affiliated: Yes

Abstract

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.