Difference between revisions of "Jacobi sc"

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File:Domcoljacobisc.png|[[Domain coloring]] of $\mathrm{sc}$ corresponding to $m=0.8$.
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File:Complexjacobisc,m=0.8plot.png|[[Domain coloring]] of $\mathrm{sc}$ corresponding to $m=0.8$.
 
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Revision as of 17:40, 25 May 2016

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

References

Special functions by Leon Hall

<center>Jacobi Elliptic Functions
</center>