Complete monotonicity of a difference between the exponential and trigamma functions (Q2878116)
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scientific article; zbMATH DE number 6335570
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete monotonicity of a difference between the exponential and trigamma functions |
scientific article; zbMATH DE number 6335570 |
Statements
28 August 2014
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completely monotonic function
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integral representation
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exponential function
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inequality
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modified Bessel function of the first kind
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0.94430923
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0.9056946
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0.9032609
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0.9026962
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0.90119886
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0.8993846
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0.8982482
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0.89663064
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Complete monotonicity of a difference between the exponential and trigamma functions (English)
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The authors give a new proof of the almost obvious fact that the function \(f(t)= \exp(1/t)- \psi'(t)\) is completely monotonic on \((0,\infty)\). Here \(\psi'(t)\) denotes the derivative of Euler's trigamma function.
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