TY - JOUR ID - 205 TI - Riordan group approaches in matrix factorizations JO - Bulletin of the Iranian Mathematical Society JA - BIMS LA - en SN - 1017-060X AU - Kilic, Emrah AU - Omur, Nese AU - Tatar, Gulfer AD - TOBB University of Economics and Technology Mathematics Department AD - Kocaeli University Mathematics Department Y1 - 2012 PY - 2012 VL - 38 IS - 2 SP - 491 EP - 506 KW - Riordan Group KW - Factorization KW - Binary Recurrences KW - Pascal Matrix DO - N2 - 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. UR - http://bims.iranjournals.ir/article_205.html L1 - http://bims.iranjournals.ir/article_205_da5f4f10d7f10a4b73c7db3f21ccb967.pdf ER -