Difference between revisions of "Kelvin bei"
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Revision as of 00:33, 11 June 2016
The $\mathrm{bei}_{\nu}$ function is defined as $$\mathrm{bei}_{\nu}(z)=\mathrm{Im} \hspace{2pt} J_{\nu} \left( z e^{\frac{3\pi i}{4}} \right),$$ where $\mathrm{Im}$ denotes the imaginary part of a complex number and $J_{\nu}$ denotes the Bessel function of the first kind.
Graph of $\mathrm{bei}_0$.
Graph of $\mathrm{bei}_1$.
Domain coloring of $\mathrm{bei}_0$.
