As noted above, the theorem does not hold for differentiable complex-valued functions. Instead, a generalization of the theorem is stated such:1 J.-Cl. Evard, F. Jafari, A Complex Rolle’s Theorem, American Mathematical Monthly, Vol. 99, Issue 9, (Nov. 1992), pp. 858-861.
As noted above, the theorem does not hold for differentiable complex-valued functions Instead, a generalization of the theorem is stated such:1 J.-Cl. Evard, F Jafari, A Complex Rolle’s Theorem, American Mathematical Monthly, Vol 99, Issue 9, (Nov. 1992), pp. 858-861.