TY  - JOUR
TI  - Factorizations of the Pascal matrix via a generalized second order recurrent matrix
AB  - In this paper, we consider positively and negatively subscripted terms of a generalized binary sequence {$U_n$} with indices in arithmetic pro- gression. We give a factorization of the Pascal matrix by a matrix associated with the sequence {$U_{pmkn$} for a fixed positive integer k, gen- eralizing results of Kılı¸c and Tascı; Lee, Kim and Lee; Stanica; and Zhizheng and Wang. Some new factorizations and combinatorial iden- tities are derived as applications. Therefore we generalize the earlier results on the factorizations of the Pascal matrix.
AU  - TATAR, G.
AU  - KILIÇ, E.
AU  - ULUTAŞ, Y. T.
AU  - ÖMÜR, N.
PY  - 2009
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 38
IS  - 3
SN  - 1303-5010
SP  - 305
EP  - 316
DB  - TRDizin
UR  - http://search/yayin/detay/94975
ER  -