Difference between revisions of "Jacobi sd"

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File:Domcoljacobisd.png|[[Domain coloring]] of $\mathrm{sd}$ corresponding to $m=0.8$.
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File:Complexjacobisd,m=0.8plot.png|[[Domain coloring]] of $\mathrm{sd}$ with $m=0.8$.
 
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[http://web.mst.edu/~lmhall/SPFNS/spfns.pdf Special functions by Leon Hall]
 
[http://web.mst.edu/~lmhall/SPFNS/spfns.pdf Special functions by Leon Hall]
  
<center>{{:Jacobi elliptic functions footer}}</center>
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[[Category:SpecialFunction]]

Latest revision as of 19:08, 5 July 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

Jacobi Elliptic Functions