Difference between revisions of "Jacobi cd"

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$$\mathrm{cd}(u)=\dfrac{\mathrm{cn}(u)}{\mathrm{dn}(u)},$$
 
$$\mathrm{cd}(u)=\dfrac{\mathrm{cn}(u)}{\mathrm{dn}(u)},$$
 
where $\mathrm{cn}$ is the [[Jacobi cn]] function and $\mathrm{dn}$ is the [[Jacobi dn]] function.
 
where $\mathrm{cn}$ is the [[Jacobi cn]] function and $\mathrm{dn}$ is the [[Jacobi dn]] function.
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<div align="center">
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<gallery>
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File:Complexjacobicd,m=0.8plot.png|[[Domain coloring]] of $\mathrm{cd}$ corresponding to $m=0.8$.
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</gallery>
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</div>
  
 
=References=
 
=References=
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{{:Jacobi elliptic functions footer}}
 
{{:Jacobi elliptic functions footer}}
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[[Category:SpecialFunction]]

Latest revision as of 19:06, 5 July 2016

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

References

Special functions by Leon Hall

Jacobi Elliptic Functions