A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices
Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Abstract
Abstract. In this paper, we present a number of combinatorial matrices
that are generalizations or variants of the super Catalan matrix
and the reciprocal Pascal matrix. We present explicit formul for LUdecompositions
of all the matrices and their inverses. Alternative derivations
using hypergeometric functions are also given.
Description
CITATION:Prodinger, H. (2019). A wide class of Combinatorial matrices related with Reciprocal Pascal and Super Catalan matrices. Contributions Discret. Math., 14.
Keywords
LU-decomposition, Inverse matrix, Zeilberger's algorithm