Difference between revisions of "Kelvin kei"
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=References= | =References= | ||
| − | * {{BookReference|Higher Transcendental Functions Volume II|1953|Harry Bateman|prev=Kelvin ker|next=findme}}: $\S 7.2.3 ( | + | * {{BookReference|Higher Transcendental Functions Volume II|1953|Harry Bateman|prev=Kelvin ker|next=findme}}: $\S 7.2.3 (20)$ |
{{:Kelvin functions footer}} | {{:Kelvin functions footer}} | ||
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
Revision as of 22:21, 8 July 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 $\mathrm{kei}_0$.
Properties
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume II ... (previous) ... (next): $\S 7.2.3 (20)$
