%0 Journal Article %T Riordan group approaches in matrix factorizations %J Bulletin of the Iranian Mathematical Society %I Iranian Mathematical Society (IMS) %Z 1017-060X %A Kilic, Emrah %A Omur, Nese %A Tatar, Gulfer %D 2012 %\ 07/15/2012 %V 38 %N 2 %P 491-506 %! Riordan group approaches in matrix factorizations %K Riordan Group %K Factorization %K Binary Recurrences %K Pascal Matrix %R %X 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. %U http://bims.iranjournals.ir/article_205_da5f4f10d7f10a4b73c7db3f21ccb967.pdf