Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6419694 | Advances in Applied Mathematics | 2011 | 31 Pages |
Abstract
We evaluate four families of determinants of matrices, where the entries are sums or differences of generating functions for paths consisting of up-steps, down-steps and level steps. By specialisation, these determinant evaluations have numerous corollaries. In particular, they cover numerous determinant evaluations of combinatorial numbers-most notably of Catalan, ballot, and of Motzkin numbers-that appeared previously in the literature.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
J. Cigler, C. Krattenthaler,