The $q$-log-convexity of Domb's polynomials
Combinatorics
2013-08-15 v1
Abstract
In this paper, we prove the -log-convexity of Domb's polynomials, which was conjectured by Sun in the study of Ramanujan-Sato type series for powers of . As a result, we obtain the log-convexity of Domb's numbers. Our proof is based on the -log-convexity of Narayana polynomials of type and a criterion for determining -log-convexity of self-reciprocal polynomials.
Keywords
Cite
@article{arxiv.1308.2961,
title = {The $q$-log-convexity of Domb's polynomials},
author = {Donna Q. J. Dou and Anne X. Y. Ren},
journal= {arXiv preprint arXiv:1308.2961},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1308.2736