The \(q\)-binomial theorem and two symmetric \(q\)-identities (Q1408539)
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scientific article; zbMATH DE number 1985375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The \(q\)-binomial theorem and two symmetric \(q\)-identities |
scientific article; zbMATH DE number 1985375 |
Statements
The \(q\)-binomial theorem and two symmetric \(q\)-identities (English)
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24 September 2003
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Summary: We notice two symmetric \(q\)-identities, which are special cases of the transformations of \({}_2\phi_1\) series in \textit{G. Gasper} and \textit{M. Rahman}'s book [Basic hypergeometric series (Cambridge University Press, Cambridge etc.) (1990; Zbl 0695.33001), p. 241]. In this paper, we give combinatorial proofs of these two identities and the \(q\)-binomial theorem by using conjugation of \(2\)-modular diagrams.
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