Difference between revisions of "Jacobi ds"

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File:Domcoljacobids.png|[[Domain coloring]] of $\mathrm{ds}$ corresponding to $m=0.8$.
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File:Complexjacobids,m=0.8plot.png|[[Domain coloring]] of $\mathrm{ds}$ corresponding to $m=0.8$.
 
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Revision as of 17:29, 25 May 2016

The $\mathrm{ds}$ function is defined by $$\mathrm{ds}(u)=\dfrac{\mathrm{dn}(u)}{\mathrm{sn}(u)},$$ where $\mathrm{dn}$ is the Jacobi dn function and $\mathrm{sn}$ is the Jacobi sn function.

References

Special functions by Leon Hall

<center>Jacobi Elliptic Functions
</center>