Difference between revisions of "Kelvin ber"
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[[Category:SpecialFunction]] | [[Category:SpecialFunction]] | ||
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Revision as of 22:16, 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): $\S 7.2.3 (18)$
