Log-concavity and strong q-log-convexity for some generalized triangular arrays

2024/09/27 by Rezig Boualam, Boualam, Rezig, Moussa Ahmia +1
Engineering · Mathematics · #05A05 #05A15 #05A30 #11B73 #Combinatorics (math.CO) #FOS: Mathematics #Optimization and Packing Problems #Point processes and geometric inequalities #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2409.18886

openalex publication_date 2024/09/27 · openalex created_date 2024/10/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we provide criteria for the log-concavity of rows and the strong q-log-convexity of the generating functions of rows in more generalized triangles. Additionally, we prove that the bi^snomial transformation not only preserves the strong q-log-convexity property but also preserves the strong q-log-concavity property.

Related

• Linear transformations and strong q-log-concavity for certain combinatorial triangle
• On Log-concavity of the Generalized Marcum Q Function
• The q-Log-convexity of the Generating Functions of the Squares of Binomial Coefficients
• Log-concavity of rows of Pascal type triangles
• Log-concavity and strong log-concavity: a review