Ramanujan-Type Series Related to Clausen's Product

Details Ramanujan-Type Series Related to Clausen's Product Ramanujan-Type Series Related to Clausen's Product

2010-10-10

arxiv.org/abs/1010.1941v3

Mathematics

Number Theory

LaTeX, corrections, more series

Scientific paper

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 $\frac{1} {\pi}$ are determined. Techniques to
evaluate generalized hypergeometric series are discussed through perspectives
of experimental mathematics.

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