\mathop{\mathbf{F}\/}\nolimits\!\left({a,b\atop a+b+m};z\right)=\frac{z^{{-a}}% }{\mathop{\Gamma\/}\nolimits\!\left(a+m\right)}\sum_{{k=0}}^{{m-1}}\frac{(a)_{% k}(m-k-1)!}{k!\mathop{\Gamma\/}\nolimits\!\left(b+m-k\right)}\left(1-\frac{1}{% z}\right)^{k}-\frac{z^{{-a}}}{\mathop{\Gamma\/}\nolimits\!\left(a\right)}\sum_% {{k=0}}^{\infty}\frac{(a+m)_{k}}{k!(k+m)!\mathop{\Gamma\/}\nolimits\!\left(b-k% \right)}(-1)^{k}\left(1-\frac{1}{z}\right)^{{k+m}}\*\left(\mathop{\ln\/}% \nolimits\left(\frac{1-z}{z}\right)-\mathop{\psi\/}\nolimits\!\left(k+1\right)% -\mathop{\psi\/}\nolimits\!\left(k+m+1\right)+\mathop{\psi\/}\nolimits\!\left(% a+k+m\right)+\mathop{\psi\/}\nolimits\!\left(b-k\right)\right),
{}