Bulletin of the Iranian Mathematical Society

Bulletin of the Iranian Mathematical Society

Riordan group approaches in matrix factorizations

Document Type : Research Paper

Authors
1 TOBB University of Economics and Technology Mathematics Department
2 Kocaeli University Mathematics Department
Abstract
In this paper, we consider an arbitrary binary polynomial sequence {A_n} and then give a lower triangular matrix representation of this sequence. As main result, we obtain a factorization of the in nite generalized Pascal matrix in terms of this new matrix,
using a Riordan group approach. Further some interesting results
and applications are derived.
Keywords

  • Receive Date 07 August 2009
  • Revise Date 22 February 2011
  • Accept Date 22 February 2011