Difference between revisions of "Jacobi sd"

From specialfunctionswiki
Jump to: navigation, search
Line 5: Line 5:
 
<div align="center">
 
<div align="center">
 
<gallery>
 
<gallery>
File:Domcoljacobisd.png|[[Domain coloring]] of $\mathrm{sd}$ corresponding to $m=0.8$.
+
File:Complexjacobisd,m=0.8plot.png|[[Domain coloring]] of $\mathrm{sd}$ with $m=0.8$.
 
</gallery>
 
</gallery>
 
</div>
 
</div>

Revision as of 17:42, 25 May 2016

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.

References

Special functions by Leon Hall

<center>Jacobi Elliptic Functions
</center>