Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4615258 | Journal of Mathematical Analysis and Applications | 2015 | 9 Pages |
Abstract
In this paper, we show several formulas for the lemniscate function which include an infinite product formula for the lemniscate sine. Furthermore, we show the relation between the product formula and Carlson's algorithm which is known as the variant of the arithmetic geometric mean of Gauss.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Ryo Nishimura,