\(q\)-special functions with \(|q|=1\) and their application to discrete integrable systems (Q2773092)
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scientific article; zbMATH DE number 1709245
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(q\)-special functions with \(|q|=1\) and their application to discrete integrable systems |
scientific article; zbMATH DE number 1709245 |
Statements
17 November 2002
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\(q\)-Bessel function
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Lauricella \(D\)-type hypergeometric \(q\)-difference system
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cylindrical Toda equation
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\(q\)-special functions with \(|q|=1\) and their application to discrete integrable systems (English)
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In recent progress the study on quantum integrable systems and the representation theory of quantum groups, \(q\)-analysis with \(|q|=1\) has received general interest. In this paper solutions for certain discrete integrable systems are constructed by using integral solutions for hypergeometric \(q\)-difference systems with \(q=1\).
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