Some double-angle formulas related to a generalized lemniscate function
published by Shingo Takeuchi
in 2019
and research's language is
English
Download
Abstract in English
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 Ramanujans Notebooks and is regarded as a generalized version of the lemniscate function.