$$x＝F^{-1}（p|{\nu }_1，{\nu }_2）＝｛x：F（x|{\nu }_1，{\nu }_2）＝p｝$$

$$p＝F（x|{\nu }_1，{\nu }_2）＝{\displaystyle \underset{0}{\overset{x}{\int }}\frac{\Gamma ［\frac{（{\nu }_1+{\nu }_2）}{2}］}{\Gamma （\frac{{\nu }_1}{2}）\Gamma （\frac{{\nu }_2}{2}）}}{（\frac{{\nu }_1}{{\nu }_2}）}^{\frac{{\nu }_1}{2}}\frac{t^{\frac{{\nu }_1-2}{2}}}{{［1+（\frac{{\nu }_1}{{\nu }_2}）t］}^{\frac{{\nu }_1+{\nu }_2}{2}}}dt$$