Abstract
In our previous works “Pfaffian decomposition and a Pfaffian analogue of q-Catalan Hankel determinants” (by M.Ishikawa, H. Tagawa and J. Zeng, J. Combin. Theory Ser. A, 120, 2013, 1263-1284) we have proposed several ways to evaluate certain Catalan-Hankel Pffafians and also formulated several conjectures. In this work we propose a new approach to compute these Catalan-Hankel Pffafians using Selberg's integral as well as their q-analogues. In particular, this approach permits us to settle most of the conjectures in our previous paper.
| Original language | English |
|---|---|
| Pages (from-to) | 549-560 |
| Number of pages | 12 |
| Journal | Discrete Mathematics and Theoretical Computer Science |
| Publication status | Published - 2014 |
| Externally published | Yes |
| Event | 26th International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2014 - Chicago, United States Duration: Jun 29 2014 → Jul 3 2014 |
Keywords
- Hankel determinants
- Hyperpfaffians
- Orthogonal polynomials
- Pfaffians
ASJC Scopus subject areas
- Theoretical Computer Science
- Computer Science(all)
- Discrete Mathematics and Combinatorics