Determinants of (generalised) Catalan numbers
Combinatorics
2010-04-27 v2
Abstract
We show that recent determinant evaluations involving Catalan numbers and generalisations thereof have most convenient explanations by combining the Lindstr\"om-Gessel-Viennot theorem on non-intersecting lattice paths with a simple determinant lemma from [Manuscripta Math. 69 (1990), 173-202]. This approach leads also naturally to extensions and generalisations.
Cite
@article{arxiv.0709.3044,
title = {Determinants of (generalised) Catalan numbers},
author = {Christian Krattenthaler},
journal= {arXiv preprint arXiv:0709.3044},
year = {2010}
}
Comments
AmS-TeX, 16 pages; minor corrections