Determining bounds on the values of parameters for a function \(f^{(m,a)}(z) =\sum _{k=0}^\infty \frac{z^k}{a^{k^2}}(k!)^{m}, {m} \in (0,1),\) to belong to the Laguerre-Pólya class (Q1745950)
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scientific article; zbMATH DE number 6861514
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Determining bounds on the values of parameters for a function \(f^{(m,a)}(z) =\sum _{k=0}^\infty \frac{z^k}{a^{k^2}}(k!)^{m}, {m} \in (0,1),\) to belong to the Laguerre-Pólya class |
scientific article; zbMATH DE number 6861514 |
Statements
Determining bounds on the values of parameters for a function \(f^{(m,a)}(z) =\sum _{k=0}^\infty \frac{z^k}{a^{k^2}}(k!)^{m}, {m} \in (0,1),\) to belong to the Laguerre-Pólya class (English)
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18 April 2018
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entire functions
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Laguerre-Pólya class
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entire functions of order zero
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0.86246586
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0.8458295
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0.8370743
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0.83429134
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0.8315681
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