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