Kelvin ker

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The $\mathrm{ker}_{\nu}$ function is defined as $$\mathrm{ber}(z)=\mathrm{Re} \hspace{2pt} K_{\nu} \left( x e^{\frac{\pi i}{4}} \right),$$ where $\mathrm{Re}$ denotes the real part of a complex number and $K_{\nu}$ denotes the modified Bessel function $K_{\nu}$.