Mathematics – Combinatorics
Scientific paper
2007-01-02
Mathematics
Combinatorics
Scientific paper
The 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.
Butler L. M.
Flanigan W. P.
No associations
LandOfFree
A note on log-convexity of q-Catalan numbers does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with A note on log-convexity of q-Catalan numbers, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A note on log-convexity of q-Catalan numbers will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-189249