Difference between revisions of "Kelvin ker"
From specialfunctionswiki
| Line 5: | Line 5: | ||
<div align="center"> | <div align="center"> | ||
<gallery> | <gallery> | ||
| − | File: | + | File:Complexkelvinker,n=0plot.png|[[Domain coloring]] of $\mathrm{ker}_0$. |
</gallery> | </gallery> | ||
</div> | </div> | ||
Revision as of 01:07, 11 June 2016
The $\mathrm{ker}_{\nu}$ function is defined as $$\mathrm{ker}_{\nu}(z)=\mathrm{Re} \left[ e^{-\frac{\nu \pi i}{2}} K_{\nu} \left( z e^{\frac{\pi i}{4}} \right) \right],$$ where $\mathrm{Re}$ denotes the real part of a complex number and $K_{\nu}$ denotes the modified Bessel function $K_{\nu}$.
Domain coloring of $\mathrm{ker}_0$.
