]> $$\begin{array}{c}P\left(t;\nu ;\delta \right)=\Phi \left(-\delta \right)+\frac{1}{2}\sum _{i=0}^{\infty }\left(P_i{I}_x\left(i+\frac{1}{2},\frac{\nu }{2}\right)+\frac{\delta }{\sqrt{2}}{Q}_i{I}_x\left(i+\mathrm{1,}\frac{\nu }{2}\right)\right)\\ P_i=e^{-\frac{{\delta }^2}{2}}\frac{{\left(\frac{{\delta }^2}{2}\right)}^i}{i!},Q_i=e^{-\frac{{\delta }^2}{2}}\frac{{\left(\frac{{\delta }^2}{2}\right)}^i}{\Gamma \left(i+\frac{3}{2}\right)},x=\frac{t^2}{\left(\nu +t^2\right)}\end{array}$$