The generalized reciprocal super Catalan matrix

Authors

EMRAH KILIÇ
TALHA ARIKAN

DOI

10.3906/mat-1504-100

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

First Page

960

Last Page

972

Recommended Citation

KILIÇ, EMRAH and ARIKAN, TALHA (2016) "The generalized reciprocal super Catalan matrix," Turkish Journal of Mathematics: Vol. 40: No. 5, Article 3. https://doi.org/10.3906/mat-1504-100
Available at: https://journals.tubitak.gov.tr/math/vol40/iss5/3