Difference between revisions of "Kelvin kei"
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(Created page with "The $\mathrm{bei}_{\nu}$ function is defined as $$\mathrm{ber}(z)=\mathrm{Im} \hspace{2pt} K_{\nu} \left( x e^{\frac{\pi i}{4}} \right),$$ where $\mathrm{Im}$ denotes the im...") |
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$$\mathrm{ber}(z)=\mathrm{Im} \hspace{2pt} K_{\nu} \left( x e^{\frac{\pi i}{4}} \right),$$ | $$\mathrm{ber}(z)=\mathrm{Im} \hspace{2pt} K_{\nu} \left( x e^{\frac{\pi i}{4}} \right),$$ | ||
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 $K_{\nu}$]]. | ||
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| + | <div align="center"> | ||
| + | <gallery> | ||
| + | File:Domcolkelvinkeisub0.png|[[Domain coloring]] of $\mathrm{kei}_0$. | ||
| + | </gallery> | ||
| + | </div> | ||
Revision as of 03:19, 21 August 2015
The $\mathrm{bei}_{\nu}$ function is defined as $$\mathrm{ber}(z)=\mathrm{Im} \hspace{2pt} K_{\nu} \left( x e^{\frac{\pi i}{4}} \right),$$ where $\mathrm{Im}$ denotes the imaginary part of a complex number and $K_{\nu}$ denotes the modified Bessel $K_{\nu}$.
Domain coloring of $\mathrm{kei}_0$.
