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arxiv: 1405.6619 · v1 · pith:QPMUWLXFnew · submitted 2014-05-20 · 🧮 math.CO · math.CA

Generalizations of Andrews' curious identities

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

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