Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10118287 | Advances in Applied Mathematics | 2018 | 34 Pages |
Abstract
We evaluate Hankel determinants of matrices in which the entries are generating functions for paths consisting of up-steps, down-steps and level steps with a fixed starting point but variable end point. By specialisation, these determinant evaluations have numerous corollaries. In particular, one consequence is that the Hankel determinant of Motzkin prefix numbers equals 1, regardless of the size of the Hankel matrix.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
C. Krattenthaler, D. Yaqubi,