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Title: Factorizations Of The Pascal Matrix Via A Generalized Second Order Recurrent Matrix
Authors: Kılıç, E.
Ömür, Neşe
Tatar, G.
Ulutaş, Yücel Türker
Keywords: Factorization
Binary recurrences
Pascal matrix
Issue Date: 2009
Publisher: Hacettepe Univ, Fac Sci
Abstract: In this paper, we consider positively and negatively subscripted terms of a generalized binary sequence {U-n} with indices in arithmetic progression. We give a factorization of the Pascal matrix by a matrix associated with the sequence {U+/-kn} for a fixed positive integer k, generalizing results of Kihc and Tasci, Lee, Kim and Lee; Stanica; and Zhizheng and Wang. Some new factorizations and combinatorial identities are derived as applications. Therefore we generalize the earlier results on the factorizations of the Pascal matrix.
ISSN: 2651-477X
Appears in Collections:Matematik Bölümü / Department of Mathematics
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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