Work

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

Year: 2024

Type: preprint

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$^s$nomial transformation not only preserves the strong $q$-log-convexity property but also preserves the strong $q$-log-concavity property.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2409.18886

Authors: Boualam, Rezig, Ahmia, Moussa

Language: English

Topic: Advanced Combinatorial Mathematics

Subfield: Discrete Mathematics and Combinatorics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Direction Générale de la Recherche Scientifique et du Développement Technologique

OpenAlex ID: W4403799500

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