Difference between revisions of "Jacobi sc"

From specialfunctionswiki
Jump to: navigation, search
 
(One intermediate revision by the same user not shown)
Line 5: Line 5:
 
<div align="center">
 
<div align="center">
 
<gallery>
 
<gallery>
File:Domcoljacobisc.png|[[Domain coloring]] of $\mathrm{sc}$ corresponding to $m=0.8$.
+
File:Complexjacobisc,m=0.8plot.png|[[Domain coloring]] of $\mathrm{sc}$ corresponding to $m=0.8$.
 
</gallery>
 
</gallery>
 
</div>
 
</div>
Line 12: Line 12:
 
[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>
+
{{:Jacobi elliptic functions footer}}
  
 
[[Category:SpecialFunction]]
 
[[Category:SpecialFunction]]

Latest revision as of 19:07, 5 July 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

Jacobi Elliptic Functions