@article{e157f05931d64919848aea4b8819ee17,
title = "Some double-angle formulas related to a generalized lemniscate function",
abstract = "In this paper, we will establish some double-angle formulas related to the inverse function of ∫0xdt/1-t6. This function appears in Ramanujan{\textquoteright}s Notebooks and is regarded as a generalized version of the lemniscate function.",
keywords = "Double-angle formulas, Generalized trigonometric functions, Jacobian elliptic functions, Lemniscate function, p-Laplacian",
author = "Shingo Takeuchi",
note = "Funding Information: The work was supported by JSPS KAKENHI Grant Number 17K05336. Publisher Copyright: {\textcopyright} 2021, The Author(s).",
year = "2021",
month = nov,
doi = "10.1007/s11139-021-00395-x",
language = "English",
volume = "56",
pages = "753--761",
journal = "Ramanujan Journal",
issn = "1382-4090",
publisher = "Springer Netherlands",
number = "2",
}