A note on log-convexity of q-Catalan numbers

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dc.creatorButler, L. M.
dc.creatorFlanigan, W. P.
dc.date2007-01-02
dc.date.accessioned2026-07-07T07:38:00Z
dc.date.available2026-07-07T07:38:00Z
dc.descriptionThe q-Catalan numbers studied by Carlitz and Riordan are polynomials in q with nonnegative coefficients. They evaluate, at q=1, to the Catalan numbers: 1, 1, 2, 5, 14,..., a log-convex sequence. We use a combinatorial interpretation of these polynomials to prove a q-log-convexity result. The sequence of q-Catalan numbers is not q-log-convex in the narrow sense used by other authors, so our work suggests a more flexible definition of q-log convex be adopted.
dc.identifierhttps://arxiv.org/abs/math/0701065
dc.identifierhttp://arxiv.org/abs/math/0701065
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/120970
dc.subjectCombinatorics
dc.subject05A20; 05A10; 05A05; 11B65
dc.titleA note on log-convexity of q-Catalan numbers
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