Difference between revisions of "Kelvin kei"
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The $\mathrm{kei}_{\nu}$ function is defined as | The $\mathrm{kei}_{\nu}$ function is defined as | ||
| − | $$\mathrm{kei}(z)=\mathrm{Im} e^{-\frac{\nu \pi i}{2}} \hspace{2pt} K_{\nu} \left( z e^{\frac{\pi i}{4}} \right),$$ | + | $$\mathrm{kei}(z)=\mathrm{Im} \left[ e^{-\frac{\nu \pi i}{2}} \hspace{2pt} K_{\nu} \left( z e^{\frac{\pi i}{4}} \right) \right],$$ |
where $\mathrm{Im}$ denotes the [[imaginary part]] of a [[complex number]] and $K_{\nu}$ denotes the [[Modified Bessel K sub nu|modified Bessel $K_{\nu}$]]. | where $\mathrm{Im}$ denotes the [[imaginary part]] of a [[complex number]] and $K_{\nu}$ denotes the [[Modified Bessel K sub nu|modified Bessel $K_{\nu}$]]. | ||
Revision as of 03:21, 21 August 2015
The $\mathrm{kei}_{\nu}$ function is defined as $$\mathrm{kei}(z)=\mathrm{Im} \left[ e^{-\frac{\nu \pi i}{2}} \hspace{2pt} K_{\nu} \left( z e^{\frac{\pi i}{4}} \right) \right],$$ where $\mathrm{Im}$ denotes the imaginary part of a complex number and $K_{\nu}$ denotes the modified Bessel $K_{\nu}$.
Domain coloring of $\mathrm{kei}_0$.
