Linear transformations preserving the strong \(q\)-log-convexity of polynomials (Q888580)
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scientific article; zbMATH DE number 6502769
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linear transformations preserving the strong \(q\)-log-convexity of polynomials |
scientific article; zbMATH DE number 6502769 |
Statements
Linear transformations preserving the strong \(q\)-log-convexity of polynomials (English)
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2 November 2015
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Summary: In this paper, we give a sufficient condition for the linear transformation preserving the strong \(q\)-log-convexity. As applications, we get some linear transformations (for instance, Morgan-Voyce transformation, binomial transformation, Narayana transformations of two kinds) preserving the strong \(q\)-log-convexity. In addition, our results not only extend some known results, but also imply the strong \(q\)-log-convexities of some sequences of polynomials.
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log-concavity
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log-convexity
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\(q\)-log-convexity
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strong \(q\)-log-convexity
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