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Symmetries of the \(9\)-\(j\) coefficient and summation and transformation formulas for hypergeometric series - MaRDI portal

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Symmetries of the \(9\)-\(j\) coefficient and summation and transformation formulas for hypergeometric series (Q2711110)

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scientific article
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English
Symmetries of the \(9\)-\(j\) coefficient and summation and transformation formulas for hypergeometric series
scientific article

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    2 May 2001
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    \(9-j\) coefficients
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    hypergeometric series
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    Symmetries of the \(9\)-\(j\) coefficient and summation and transformation formulas for hypergeometric series (English)
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    The paper is devoted to symmetries for the so-called \(9-j\) coefficient. By extending certain arguments, corresponding to the angular momenta in the \(9-j\) coefficient of the underlying triple hypergeometric series, new summation theorems for double and triple hypergeometric series are derived. By specializing suitable parameters some interesting summation formulas for Kampé de Fériet functions are obtained.NEWLINENEWLINEFor the entire collection see [Zbl 0944.00084].
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