Some double-angle formulas related to a generalized lemniscate function (Q2052863)
From MaRDI portal
scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some double-angle formulas related to a generalized lemniscate function |
scientific article |
Statements
Some double-angle formulas related to a generalized lemniscate function (English)
0 references
29 November 2021
0 references
In this paper, the author establishes 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.
0 references
generalized trigonometric functions
0 references
double-angle formulas
0 references
lemniscate function
0 references
Jacobian elliptic functions
0 references
\(p\)-Laplacian
0 references
