A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions (Q435178)
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scientific article; zbMATH DE number 6054346
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions |
scientific article; zbMATH DE number 6054346 |
Statements
A completely monotonic function involving \(q\)-gamma and \(q\)-digamma functions (English)
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11 July 2012
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The author proves the completely monotonicity of functions involving \(q\)-gamma and \(q\)-digamma functions, for \(q>0\). The obtained results give new inequalities for \(q\)-gamma functions as well as generalize other obtained results.
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completely monotonic functions
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inequalities
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\(q\)-gamma function
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\(q\)-digamma function
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0.97533447
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0.97322226
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0.96276486
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0.9599965
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0.9574685
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0.9549793
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0.9515662
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0.95114243
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