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arXiv · 1805.06568

Gauss summation and Ramanujan type series for $1/{\pi}$

Zhi-Guo Liu
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Abstract

Using some properties of the gamma function and the well-known Gauss summation formula for the classical hypergeometric series, we prove a four-parameter series expansion formula, which can produce infinitely many Ramanujan type series for $1/\pi$.

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Zhi-Guo Liu. 2018-05-17. Gauss summation and Ramanujan type series for $1/{\pi}$. https://arxiv.org/abs/1805.06568

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