Difference between revisions of "Kelvin ber"
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| − | * {{BookReference|Higher Transcendental Functions Volume II|1953|Harry Bateman|prev=findme|next=Kelvin bei}}: $\S 7.2.3 ( | + | * {{BookReference|Higher Transcendental Functions Volume II|1953|Harry Bateman|prev=findme|next=Kelvin bei}}: $\S 7.2.3 (19)$ |
[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
{{:Kelvin functions footer}} | {{:Kelvin functions footer}} | ||
Revision as of 22:17, 8 July 2016
The $\mathrm{ber}_{\nu}$ function is defined as $$\mathrm{ber}_{\nu}(z)=\mathrm{Re} \hspace{2pt} J_{\nu} \left( z e^{\frac{3\pi i}{4}} \right),$$ where $\mathrm{Re}$ denotes the real part of a complex number and $J_{\nu}$ denotes the Bessel function of the first kind.
Graph of $\mathrm{ber}_0$.
Graph of $\mathrm{ber}_{\frac{1}{2}}$.
Graph of $\mathrm{ber}_1$.
Graph of $\mathrm{ber}_2$.
Domain coloring of $\mathrm{ber}_0$.
Domain coloring of $\mathrm{ber}_1$.
References
- 1953: Harry Bateman: Higher Transcendental Functions Volume II ... (previous) ... (next): $\S 7.2.3 (19)$
