Inequalities for the gamma function (Q999110)
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scientific article; zbMATH DE number 5500893
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Inequalities for the gamma function |
scientific article; zbMATH DE number 5500893 |
Statements
Inequalities for the gamma function (English)
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30 January 2009
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The author proves some sharp upper and lower bounds for the gamma function at positive real \(x\) and presents some Stirling-type formulas for \(n!\) which refine and improve the classical Stirling approximation \(\Gamma(n+1)=n!\sim n^ne^{-n}\sqrt{2\pi n}.\)
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Gamma function
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Stirling formula
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Burnside's formula
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digamma function
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harmonic number
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inequality
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