Some double-angle formulas related to a generalized lemniscate function

Author:

Takeuchi ShingoORCID

Abstract

AbstractIn this paper, we will establish some double-angle formulas related to the inverse function of $$\int _0^x \text {d}t/\sqrt{1-t^6}$$ 0 x d t / 1 - t 6 . This function appears in Ramanujan’s Notebooks and is regarded as a generalized version of the lemniscate function.

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference11 articles.

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