Jensen polynomials with applications to the Riemann \(\xi\)-function (Q920233)
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scientific article; zbMATH DE number 4163204
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Jensen polynomials with applications to the Riemann \(\xi\)-function |
scientific article; zbMATH DE number 4163204 |
Statements
Jensen polynomials with applications to the Riemann \(\xi\)-function (English)
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1990
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Generalizations of some known results for Jensen polynomials, pertaining to (i) convexity, (ii) the Turán inequalities, and (iii) the Laguerre inequalities, are established. These results are then applied in general to real entire functions, which are representable by Fourier transforms, and in particular to the Riemann \(\xi\)-function.
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Jensen polynomials
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convexity
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Turán inequalities
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Laguerre inequalities
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Fourier transforms
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