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

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 bisnomial transformation not only preserves the strong q-log-convexity property but also preserves the strong q-log-concavity property.

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