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:<math>G(x) = x K_{\frac{2}{3}}(x)</math>
where ''K''<sub>''j''</sub> is the modified [[Bessel function]] of the second kind. These functions are shown on the right, as the output from a plot in [[Mathematica]].
[[Image:Firstsynchfunction.jpg|thumb|First synchrotron function, F(x)]]
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