F⁡(a,ba+b+m;z)=1Γ⁡(a+m)⁢Γ⁡(b+m)⁢∑k=0m-1(a)k⁢(b)k⁢(m-k-1)!k!⁢(z-1)k-(z-1)mΓ⁡(a)⁢Γ⁡(b)⁢∑k=0∞(a+m)k⁢(b+m)kk!⁢(k+m)!⁢(1-z)k⁢(ln⁡(1-z)-ψ⁡(k+1)-ψ⁡(k+m+1)+ψ⁡(a+k+m)+ψ⁡(b+k+m)),