Accurate approximations of classical and generalized binomial coefficients (Q6590198)
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scientific article; zbMATH DE number 7899231
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Accurate approximations of classical and generalized binomial coefficients |
scientific article; zbMATH DE number 7899231 |
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Accurate approximations of classical and generalized binomial coefficients (English)
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21 August 2024
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The purpose of this paper is to find several sharp approximations of the generalized binomial coefficient function having real arguments. By using Stirling's approximation of the gamma function, approximations for binomial coefficients with parameters controlling the magnitude of the error term are obtained. Graphs of the function \(y\mapsto \binom{-\frac 12}{y}\) and other functions are shown as well. Several inequalities are proved and an open question is given.
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approximation
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binomial coefficient
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error term
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estimate
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gamma function
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inequality
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