Article ID Journal Published Year Pages File Type
4600588 Linear Algebra and its Applications 2013 19 Pages PDF
Abstract

In this paper, we propose a direct method to evaluate Hankel determinants for some generating functions satisfying a certain type of quadratic equations, which cover generating functions of Catalan numbers, Motzkin numbers and Schröder numbers. Additionally, four recent conjectures proposed by Cigler (2011) [3] are proved.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory