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 Sequen 1 (20.52 KiB) Viewed 50 times
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 Sequen 2 (3.94 KiB) Viewed 50 times
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 is 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 7, function is defined as II (1-2min), for 7 € H. =1 Observe that, by the result quoted above, n is a holomorphic function on H. (T) = 2 e 24
2. Prove that it (log(n(o))) = 2 E2(). 24
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