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arXiv · 1912.11483

Some double-angle formulas related to a generalized lemniscate function

Shingo Takeuchi
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Abstract

In this paper we will establish some double-angle formulas related to the inverse function of $\int_0^x dt/\sqrt{1-t^6}$. This function appears in Ramanujan's Notebooks and is regarded as a generalized version of the lemniscate function.

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Shingo Takeuchi. 2019-12-24. Some double-angle formulas related to a generalized lemniscate function. https://doi.org/10.1007/s11139-021-00395-x

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