An approximation of the gamma function (Q912255)
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scientific article; zbMATH DE number 4144380
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An approximation of the gamma function |
scientific article; zbMATH DE number 4144380 |
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An approximation of the gamma function (English)
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1990
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A very good approximation of the gamma function is found. This approximation comes from a trapezoidal rule. The error of the approximation is estimated through a Fourier expansion. All completely monotone solutions of the functional equation \(\phi (ax)=b\phi (x)\) are described. Why any completely monotone solution is close to a power of x is explained with that approximation of the gamma function.
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gamma function
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trapezoidal rule
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