The Generalized Reciprocal Super Catalan Matrix

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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