Difference between revisions of "Jacobi nc"
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(Created page with "The $\mathrm{nc}$ function is defined by $$\mathrm{nc}(u)=\dfrac{1}{\mathrm{cn}(u)},$$ where $\mathrm{cn}$ is the Jacobi cn function.") |
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$$\mathrm{nc}(u)=\dfrac{1}{\mathrm{cn}(u)},$$ | $$\mathrm{nc}(u)=\dfrac{1}{\mathrm{cn}(u)},$$ | ||
where $\mathrm{cn}$ is the [[Jacobi cn]] function. | where $\mathrm{cn}$ is the [[Jacobi cn]] function. | ||
+ | |||
+ | <div align="center"> | ||
+ | <gallery> | ||
+ | File:Complexjacobinc,m=0.8plot.png|[[Domain coloring]] of $\mathrm{nc}$ with $m=0.8$. | ||
+ | </gallery> | ||
+ | </div> | ||
+ | |||
+ | =References= | ||
+ | [http://web.mst.edu/~lmhall/SPFNS/spfns.pdf Special functions by Leon Hall] | ||
+ | |||
+ | {{:Jacobi elliptic functions footer}} | ||
+ | |||
+ | [[Category:SpecialFunction]] |
Latest revision as of 19:07, 5 July 2016
The $\mathrm{nc}$ function is defined by $$\mathrm{nc}(u)=\dfrac{1}{\mathrm{cn}(u)},$$ where $\mathrm{cn}$ is the Jacobi cn function.
Domain coloring of $\mathrm{nc}$ with $m=0.8$.
References
Special functions by Leon Hall