The q-log-convexity of Domb's polynomials
Abstract
In this paper, we prove the q-log-convexity of Domb's polynomials, which was conjectured by Sun in the study of Ramanujan-Sato type series for powers of π. As a result, we obtain the log-convexity of Domb's numbers. Our proof is based on the q-log-convexity of Narayana polynomials of type B and a criterion for determining q-log-convexity of self-reciprocal polynomials.
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