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On solutions of the \(q\)-hypergeometric equation with \(q^N = 1\) - MaRDI portal

On solutions of the \(q\)-hypergeometric equation with \(q^N = 1\) (Q1850940)

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On solutions of the \(q\)-hypergeometric equation with \(q^N = 1\)
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    On solutions of the \(q\)-hypergeometric equation with \(q^N = 1\) (English)
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    15 December 2002
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    The author sovles the \(q\)-hypergeometric equation with \(q^N=1\), and \(\alpha, \beta, \gamma\in \mathbb{Z}\). The subspace of solutions is proved to be two-dimensional and a basis for this subspace is also obtained.
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    basic hypergeometric series
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    \(q\)-hypergeometric equation
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    root of unity
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