Some observations about determinants which are connected with Catalan numbers and related topics

2019/02/27 by Cigler, Johann · 1 citation
#05A10 #05A30 #15A15 #33C45 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.10468

Abstract

In this (mostly expository) paper I want to share some observations prompted by a class of matrices whose determinants are Catalan numbers. Considering different methods of proof we obtain some generalizations and q-analogues and connections with Hankel determinants. Finally we state some conjectures.

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