Difference between revisions of "Kelvin kei"
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| − | File: | + | File:Complexkelvinkei,n=0plot.png|[[Domain coloring]] of $\mathrm{kei}_0$. |
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Revision as of 01:14, 11 June 2016
The $\mathrm{kei}_{\nu}$ function is defined as $$\mathrm{kei}_{\nu}(z)=\mathrm{Im} \left[ e^{-\frac{\nu \pi i}{2}} K_{\nu} \left( z e^{\frac{\pi i}{4}} \right) \right],$$ where $\mathrm{Im}$ denotes the imaginary part of a complex number and $K_{\nu}$ denotes the modified Bessel $K_{\nu}$.
Domain coloring of $\mathrm{kei}_0$.
