Preserving log-convexity for generalized Pascal triangles (Q426884)
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scientific article; zbMATH DE number 6045709
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Preserving log-convexity for generalized Pascal triangles |
scientific article; zbMATH DE number 6045709 |
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Preserving log-convexity for generalized Pascal triangles (English)
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12 June 2012
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Summary: We establish the preserving log-convexity property for the generalized Pascal triangles. It is an extension of a result of \textit{H. Davenport} and \textit{G. Pólya} [Can. J. Math. 1, 1--5 (1949; Zbl 0037.32505)], who proved that the binomial convolution of two log-convex sequences is log-convex.
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log-convexity
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binomial convolution
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generalized Pascal triangle
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