DOAJ Open Access 2014

Selberg integrals and Hankel determinants

Masao Ishikawa Jiang Zeng

Lihat Sumber DOI

Abstrak

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.

Topik & Kata Kunci

Mathematics

Penulis (2)

Masao Ishikawa

Jiang Zeng

Format Sitasi

APA MLA BibTeX

Ishikawa, M., Zeng, J. (2014). Selberg integrals and Hankel determinants. https://doi.org/10.46298/dmtcs.2422

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.2422

Informasi Jurnal

Tahun Terbit: 2014
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.2422
Akses: Open Access ✓