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On a general \(q\)-identity - MaRDI portal

On a general \(q\)-identity (Q405224)

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scientific article; zbMATH DE number 6340195
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On a general \(q\)-identity
scientific article; zbMATH DE number 6340195

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    On a general \(q\)-identity (English)
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    4 September 2014
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    Summary: In this paper, by means of the \(q\)-Rice formula we obtain a general \(q\)-identity which is a unified generalization of three kinds of identities. Some known results are special cases of ours. Meanwhile, some identities on \(q\)-generalized harmonic numbers are also derived.
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    \(q\)-Rice formula
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    \(q\)-identity
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    \(q\)-generalized harmonic number
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    Cauchy's integral formula
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    FaĆ  di Bruno's formula
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