A regularization technique for computing the hypergeometric function \(F(a,b;c;z)\)in the neighborhood of the singular points \(z=1\) and \(z= \infty\) (Q1395155)
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scientific article; zbMATH DE number 1940565
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A regularization technique for computing the hypergeometric function \(F(a,b;c;z)\)in the neighborhood of the singular points \(z=1\) and \(z= \infty\) |
scientific article; zbMATH DE number 1940565 |
Statements
A regularization technique for computing the hypergeometric function \(F(a,b;c;z)\)in the neighborhood of the singular points \(z=1\) and \(z= \infty\) (English)
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29 June 2003
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In this paper the author suggests a new technique for the computation of the Gauss hypergeometric function \(F(a,b;c;z)\) in the neighborhood of the singular points \(z=1\) and \(z=\infty\) for the values of the complex parameters \(a,b,\) and \(c\) in the vicinity of the poles. In order to avoid operations with very large numbers and the corresponding loss of accuracy in the calculation a new regularization method is proposed. Ref. 20 in number.
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Gauss hypergeometric function
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computing
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singular points
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pole
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regularization method
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accuracy
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efficiency
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