F⁡(a,a+mc;z)=(-z)-aΓ⁡(a+m)⁢∑k=0m-1(a)k⁢(m-k-1)!k!⁢Γ⁡(c-a-k)⁢z-k+(-z)-aΓ⁡(a)⁢∑k=0∞(a+m)kk!⁢(k+m)!⁢Γ⁡(c-a-k-m)⁢(-1)k⁢z-k-m⁢(ln⁡(-z)+ψ⁡(k+1)+ψ⁡(k+m+1)-ψ⁡(a+k+m)-ψ⁡(c-a-k-m)),