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arXiv · 1010.1941

Ramanujan-Type Series Related to Clausen's Product

John M. Campbell
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Abstract

Infinite series are evaluated through the manipulation of a series for $\cos(2t \sin^{-1}x)$ resulting from Clausen's Product. Hypergeometric series equal to an expression involving $\frac{1} π$ are determined. Techniques to evaluate generalized hypergeometric series are discussed through perspectives of experimental mathematics.

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John M. Campbell. 2011-01-07. Ramanujan-Type Series Related to Clausen's Product. https://arxiv.org/abs/1010.1941

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