On some new continued fractions related to \(_2\varphi_1\) basic hypergeometric functions (Q2747305)
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scientific article; zbMATH DE number 1657491
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On some new continued fractions related to \(_2\varphi_1\) basic hypergeometric functions |
scientific article; zbMATH DE number 1657491 |
Statements
2 November 2003
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\(q\)-series
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continued fraction expansions
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basic hypergeometric function
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contiguous functions
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identities
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On some new continued fractions related to \(_2\varphi_1\) basic hypergeometric functions (English)
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The authors have established some theorems on continued fraction expansions for the ratio of the basic hypergeometric function \(_2\varphi_1\) with its contiguous functions. A number of special cases of these identities are discussed to deduce some classical identities of continued fractions analogous to that of Ramanujan.
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