New curious bilateral \(q\)-series identities (Q398539)
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scientific article; zbMATH DE number 6330801
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | New curious bilateral \(q\)-series identities |
scientific article; zbMATH DE number 6330801 |
Statements
New curious bilateral \(q\)-series identities (English)
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15 August 2014
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Summary: By applying a classical method, already employed by Cauchy, to a terminating curious summation by one of the authors, a new curious bilateral \(q\)-series identity is derived. We also apply the same method to a quadratic summation by Gessel and Stanton, and to a cubic summation by Gasper, respectively, to derive a bilateral quadratic and a bilateral cubic summation formula.
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bilateral basic hypergeometric series
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\(q\)-series
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curious summations
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