Two Variants of the Reciprocal Super Catalan Matrix

E. Kiliç; N.Ömür; S. Koparal; Y. Ulutas

doi:10.5666/KMJ.2016.56.2.409

Article

Kyungpook Mathematical Journal 2016; 56(2): 409-418

Published online June 1, 2016

Two Variants of the Reciprocal Super Catalan Matrix

E. Kiliç¹, N.Ömür², S. Koparal³, Y. Ulutas³

Department of Mathematics, TOBB University of Economics and Technology, 06560 Ankara, Turkey¹
Department of Mathematics, Kocaeli University, 41380 ˙Izmit Kocaeli, Turkey²
Department of Mathematics, Kocaeli University, 41380 ˙Izmit Kocaeli, Turkey³

Received: July 27, 2015; Accepted: December 10, 2015

Abstract

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Abstract

In this paper, we define two kinds variants of the super Catalan matrix as well as their q-analoques. We give explicit expressions for LU-decompositions of these matrices and their inverses.

Keywords: Catalan matrix, q-binomial coefficients, LU-decompositions, determinant.