General T-fraction expansions for ratios of hypergeometric functions (Q1103747)
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scientific article; zbMATH DE number 4053983
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | General T-fraction expansions for ratios of hypergeometric functions |
scientific article; zbMATH DE number 4053983 |
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General T-fraction expansions for ratios of hypergeometric functions (English)
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1988
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The authors provide two general T-fraction expansions for functions of the form \[ f(z)=_ 2F_ 1(a,b;c;z)/_ 2F_ 1(a,b+1;c+1;z), \] which converge to f uniformly on each compact subset of \(| z| <1\) containing no pole of f. The convergence of these T-fractions in \(| z| >1\) is also described.
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T-fractions
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