Answer Happy

We will use the following complex analysis result: Theorem 0.1. Let U be an open subset of C and let {Sn}n>1 be a sequence of holomorphic functions on U such that i converges uniformly on compact subsets of U. Then II (1 + in) converges uniformly on compact subsets of U. In particular, the limit is a holomorphic function. The n function is defined as (T) = e* II (1 - 2int), for 7 € H. 2 Observe that, by the result quoted above, n is a holomorphic function on H.
3. Prove that d d dr ((- dr where the branch of -it is the one which has non-negative real part. (log(v1 – 1/7) ok log (-irn(-)), v