Complete monotonicity of a function involving the divided difference of psi~functions (Q2865135)
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scientific article; zbMATH DE number 6234302
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Complete monotonicity of a function involving the divided difference of psi~functions |
scientific article; zbMATH DE number 6234302 |
Statements
28 November 2013
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necessary and sufficient condition
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complete monotonicity
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logarithmically complete monotonicity
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divided difference
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ratio of two gamma functions
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inequality
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psi function
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polygamma function
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Complete monotonicity of a function involving the divided difference of psi~functions (English)
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The authors provide necessary and sufficient conditions for combinations of the classical psi, gamma and polygamma functions, to be logarithmically completely monotonic. Inequalities for those functions are deduced as particular cases of their findings.
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