On some generalizations of Ramanujan's continued fraction identities (Q1109801)
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scientific article; zbMATH DE number 4070992
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some generalizations of Ramanujan's continued fraction identities |
scientific article; zbMATH DE number 4070992 |
Statements
On some generalizations of Ramanujan's continued fraction identities (English)
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1987
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Many of the continued fraction expansions of Ramanujan can be viewed as special cases of the expansion of the ratio of basic hypergeometric series: \(_ 2\phi_ 1(a,b;c;xq)/_ 2\phi_ 1(a,b;c;x).\) The authors find the related expansions for the ratios in which the numerator has been replaced by one of a number of similar basic hypergeometric series.
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identities
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q-continued fractions
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Rogers-Ramanujan continued fractions
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continued fraction expansions
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ratio of basic hypergeometric series
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