Log-concavity and strong $q$-log-convexity for some generalized triangular arrays
Combinatorics
2024-09-30 v1
Abstract
In this paper, we provide criteria for the log-concavity of rows and the strong -log-convexity of the generating functions of rows in more generalized triangles. Additionally, we prove that the binomial transformation not only preserves the strong -log-convexity property but also preserves the strong -log-concavity property.
Keywords
Cite
@article{arxiv.2409.18886,
title = {Log-concavity and strong $q$-log-convexity for some generalized triangular arrays},
author = {Rezig Boualam and Moussa Ahmia},
journal= {arXiv preprint arXiv:2409.18886},
year = {2024}
}