Developing the theory of analytic functions without integration At the beginning of Chapter 4 of his book _Complex Analysis_ , Ahlfors writes "it is only quite recently that it became possible to prove, without resorting to complex integration or equivalent tools, that the derivative of an analytic function is continuous, or that the higher derivatives exist". I would be grateful for references to the quite recent (in 1966) "integration-free" proofs that Ahlfors is alluding to.

I don't know why google failed me before I posted this question, but it's found a relevant reference now. See <