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

Published 27 Sep 2024 in math.CO | (2409.18886v1)

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.

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