Difference between revisions of "Jacobi dc"
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$$\mathrm{dc}(u)=\dfrac{\mathrm{dn}(u)}{\mathrm{cn}(u)},$$ | $$\mathrm{dc}(u)=\dfrac{\mathrm{dn}(u)}{\mathrm{cn}(u)},$$ | ||
where $\mathrm{dn}$ is the [[Jacobi dn]] function and $\mathrm{cn}$ is the [[Jacobi cn]] function. | where $\mathrm{dn}$ is the [[Jacobi dn]] function and $\mathrm{cn}$ is the [[Jacobi cn]] function. | ||
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| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Complexjacobidc,m=0.8plot.png|[[Domain coloring]] of $\mathrm{dc}$ with $m=0.8$. | ||
| + | </gallery> | ||
| + | </div> | ||
=References= | =References= | ||
[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] | ||
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| + | {{:Jacobi elliptic functions footer}} | ||
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| + | [[Category:SpecialFunction]] | ||
Latest revision as of 19:06, 5 July 2016
The $\mathrm{dc}$ function is defined by $$\mathrm{dc}(u)=\dfrac{\mathrm{dn}(u)}{\mathrm{cn}(u)},$$ where $\mathrm{dn}$ is the Jacobi dn function and $\mathrm{cn}$ is the Jacobi cn function.
Domain coloring of $\mathrm{dc}$ with $m=0.8$.
References
Special functions by Leon Hall
