A class of logarithmically completely monotonic functions associated with a gamma function (Q623632)
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scientific article; zbMATH DE number 5847770
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A class of logarithmically completely monotonic functions associated with a gamma function |
scientific article; zbMATH DE number 5847770 |
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A class of logarithmically completely monotonic functions associated with a gamma function (English)
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8 February 2011
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The authors study the log complete monotonicity of the functions j\(G(x)= [e^x\Gamma(x+ a)]/(x+ b)^{x+ b}\), and \(1/G(x)\), where \(x> 0\). The proofs are based among others on integral representations, as well as inequalities for the digamma function.
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Euler gamma function
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complete monotonicity
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