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- W2552921832 abstract "In our previous works 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. R´ esum´ e. Dans nos travaux pr´´ decomposition and a Pfaffian analogue of q-Catalan Hankel determi- nants (by M.Ishikawa, H. Tagawa and J. Zeng, em J. Combin. Theory Ser. A, 120, 2013, 1263-1284) nous avons propos´ e plusieurs mpourcertains Catalan-Pffafian dde Hankel et avons aussi formul´ e plusieurs conjectures. Dans ce travail nous proposons une nouvelle approche pour calculer ces Catalan-Pffafian de- terminants de Hankel en utilisant l'intde Selberg ainsi que leurs q-analogues. En particulier, cette approche nous permet de confirmer la plus part de nos conjectures pr´ ec´ edentes." @default.
- W2552921832 created "2016-11-30" @default.
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- W2552921832 date "2014-01-01" @default.
- W2552921832 modified "2023-09-22" @default.
- W2552921832 title "Selberg integrals and Catalan-Pfaffian Hankel determinants" @default.
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