The generalized reciprocal super Catalan matrix

Authors

EMRAH KILIÇ
TALHA ARIKAN

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.

DOI

10.3906/mat-1504-100

Keywords

Determinant, inverse matrix, $LU$ factorization, Gaussian $q$-binomial coefficient, Zeilberger's algorithm

First Page

960

Last Page

972

Recommended Citation

KILIÇ, E, & ARIKAN, T (2016). The generalized reciprocal super Catalan matrix. Turkish Journal of Mathematics 40 (5): 960-972. https://doi.org/10.3906/mat-1504-100