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Ramanujan-Type Series Related to Clausen's Product

Number Theory 2015-03-17 v3

Abstract

Infinite series are evaluated through the manipulation of a series for cos(2tsin1x)\cos(2t \sin^{-1}x) resulting from Clausen's Product. Hypergeometric series equal to an expression involving 1π\frac{1} {\pi} are determined. Techniques to evaluate generalized hypergeometric series are discussed through perspectives of experimental mathematics.

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Cite

@article{arxiv.1010.1941,
  title  = {Ramanujan-Type Series Related to Clausen's Product},
  author = {John M. Campbell},
  journal= {arXiv preprint arXiv:1010.1941},
  year   = {2015}
}

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