Difference between revisions of "Jacobi sd"
From specialfunctionswiki
| Line 2: | Line 2: | ||
$$\mathrm{sd}(u)=\dfrac{\mathrm{sn}(u)}{\mathrm{dn}(u)},$$ | $$\mathrm{sd}(u)=\dfrac{\mathrm{sn}(u)}{\mathrm{dn}(u)},$$ | ||
where $\mathrm{sn}$ is the [[Jacobi sn]] function and $\mathrm{dn}$ is the [[Jacobi dn]] function. | where $\mathrm{sn}$ is the [[Jacobi sn]] function and $\mathrm{dn}$ is the [[Jacobi dn]] function. | ||
| + | |||
| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Domcoljacobisd.png|[[Domain coloring]] of $\mathrm{sd}$ corresponding to $m=0.8$. | ||
| + | </gallery> | ||
| + | </div> | ||
=References= | =References= | ||
Revision as of 02:48, 21 August 2015
The $\mathrm{sd}$ function is defined by $$\mathrm{sd}(u)=\dfrac{\mathrm{sn}(u)}{\mathrm{dn}(u)},$$ where $\mathrm{sn}$ is the Jacobi sn function and $\mathrm{dn}$ is the Jacobi dn function.
Domain coloring of $\mathrm{sd}$ corresponding to $m=0.8$.
References
Special functions by Leon Hall
