Infinite log-convexity

Tewodros Amdeberhan1, Victor H. Moll1
1Department of Mathematics, Tulane University, New Orleans, LA 70118

Abstract

criteria to verify log-convexity of sequences is presented. Iterating this criteria produces infinitely log-convex sequences. As an application, several classical examples of sequences arising in Combinatorics and Special Functions are presented. The paper concludes with a conjecture regarding coefficients of chromatic polynomials.

Keywords: log-convexity, log-concavity, combinatorial sequences, chromatic polynomials.