\[\sqrt{\kappa\zeta-4\mu^{2}}-2\mu\operatorname{arctan}\left(\frac{\sqrt{\kappa%
\zeta-4\mu^{2}}}{2\mu}\right)=\tfrac{1}{2}(X-\pi\mu)-\mu\operatorname{arctan}%
\left(\frac{x\kappa-2\mu^{2}}{\mu X}\right)+\kappa\operatorname{arcsin}\left(%
\frac{X}{2\sqrt{\kappa^{2}-\mu^{2}}}\right),\]