Log-concavity and strong \(q\)-log-convexity for some generalized triangular arrays
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 pre...
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| description | 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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| subjects | Concavity Convexity |
| title | Log-concavity and strong \(q\)-log-convexity for some generalized triangular arrays |
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