Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.11851/1701
Title: The generalized reciprocal super Catalan matrix
Authors: Kılıç, Emrah
Arıkan, Talha
Keywords: Determinant
inverse matrix
LU factorization
Gaussian q-binomial coefficient
Zeilberger's algorithm
Publisher: Scientific Technical Research Council Turkey
Türkiye bilimsel ve teknolojik araştırma kurumu
Source: Kilic, E., & Arikan, T. (2016). The generalized reciprocal super Catalan matrix. Turkish Journal of Mathematics, 40(5), 960-972.
Abstract: The reciprocal super Catalan matrix studied by Prodinger is further generalized, introducing two additional parameters. Explicit formulae are derived for the LU-decomposition and their inverses, as well as the Cholesky decomposition. The approach is to use q-analysis and to leave the justification of the necessary identities to the q-version of Zeilberger's celebrated algorithm.
URI: https://search.trdizin.gov.tr/yayin/detay/245305
http://journals.tubitak.gov.tr/math/issues/mat-16-40-5/mat-40-5-3-1504-100.pdf
https://hdl.handle.net/20.500.11851/1701
ISSN: 1300-0098
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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