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Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\) - MaRDI portal

Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\) (Q1571028)

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scientific article; zbMATH DE number 1472349
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English
Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\)
scientific article; zbMATH DE number 1472349

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    Hypergeometric series related to the \(9-j\) coefficient of \({\mathfrak{su}}(1,1)\) (English)
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    4 March 2001
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    The paper is devoted to the study of various expressions for the \(9-j\) coefficient of \({\mathcal S}{\mathcal U}(1,1)\) with an emphasis on multiple hypergeometric series. An orthogonal polynomial in two discrete variables is associated to the \(9-j\) coefficient. Finally, some transformation formulas for double- and triple-hypergeometric series of unit argument are discussed.
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    orthogonal polynomial
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    \(9-j\) coefficient
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    hypergeometric series
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