]> $$f\left(x;\nu ;\delta \right)=\frac{{\nu }^{\frac{\nu }{2}}\nu !}{2^{\nu }{e}^{\frac{{\delta }^2}{2}}{\left(\nu +x^2\right)}^{\frac{\nu }{2}}\Gamma \left(\frac{\nu }{2}\right)}\left(\frac{\sqrt{2}\delta x_1{F}_1\left(\frac{n}{2}+1;\frac{3}{2};\frac{{\delta }^2{x}^2}{2\left(n+x^2\right)}\right)}{\left(\nu +x^2\right)\Gamma \left(\frac{1}{2}\left(\nu +1\right)\right)}+\frac{{}_1{F}_1\left(\frac{1}{2}\left(n+1\right);\frac{1}{2};\frac{{\delta }^2{x}^2}{2\left(\nu +x^2\right)}\right)}{\sqrt{\nu +x^2}\Gamma \left(\frac{\nu }{2}+1\right)}\right)$$