\[z^{\lambda}(1-z)^{\mu}P\begin{Bmatrix}0&1&\infty&\\
a_{1}&b_{1}&c_{1}&z\\
a_{2}&b_{2}&c_{2}&\end{Bmatrix}=P\begin{Bmatrix}0&1&\infty&\\
a_{1}+\lambda&b_{1}+\mu&c_{1}-\lambda-\mu&z\\
a_{2}+\lambda&b_{2}+\mu&c_{2}-\lambda-\mu&\end{Bmatrix},\]