]> $$f\left(x;{\nu }_1,{\nu }_2;\lambda \right)=e^{-\frac{\lambda }{2}+\frac{\left(\lambda {\nu }_{1}x\right)}{\left(2\left({\nu }_2+{\nu }_{1}x\right)\right)}}{{\nu }_1}^{\frac{{\nu }_1}{2}}{{\nu }_2}^{\frac{{\nu }_2}{2}}{x}^{\frac{{\nu }_1}{2}-1}{\left({\nu }_2+{\nu }_{1}x\right)}^{-\frac{\left({\nu }_1+{\nu }_2\right)}{2}}\frac{\Gamma \left(\frac{1}{2}{\nu }_1\right)\Gamma \left(1+\frac{1}{2}{\nu }_2\right)L_{\frac{{\nu }_2}{2}}^{\frac{{\nu }_1}{2}-1}\left(-\frac{\lambda {\nu }_{1}x}{2\left({\nu }_2+{\nu }_{1}x\right)}\right)}{B\left(\frac{1}{2}{\nu }_1,\frac{1}{2}{\nu }_2\right)\Gamma \left(\frac{1}{2}\left({\nu }_1+{\nu }_2\right)\right)}$$