The generalized reciprocal super Catalan matrix

Authors : Emrah KILIÇ, Talha ARIKAN

Pages : 960-972

View : 11 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

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.
Keywords : Determinant, inverse matrix, LU factorization, Gaussian q binomial coefficient, Zeilberger`s algorithm