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arxiv: 1405.6618 · v1 · pith:XSHTISRQnew · submitted 2014-05-20 · 🧮 math.CO · math.CA

Extensions of two q-Gosper identities with an extra integer parameter

classification 🧮 math.CO math.CA
keywords gosperidentitiesintegerparameterextensionsextraseriesaccording
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According to the method of series rearrangement, we establish the extensions of two $q$-Gosper identities with an extra integer parameter. The limiting cases of them produce the generalizations of Gosper's two $_3F_2(\frac{3}{4})$-series identities with an additional integer parameter. Meanwhile, several related results are also given.

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