Kelvin bei
From specialfunctionswiki
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 $\mathrm{bei}_0$.
Domain coloring of $\mathrm{bei}_1$.
Properties
References
- 1953: Arthur Erdélyi, Wilhelm Magnus, Fritz Oberhettinger and Francesco G. Tricomi: Higher Transcendental Functions Volume II ... (previous) ... (next): $\S 7.2.3 (19)$
