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  2. Department of Pure Mathematics and Mathematical StatisticsUniversity…

    https://www.dpmms.cam.ac.uk/~tkc/Complex_Analysis/Notes_1.pdf
    20 Feb 2006: Proposition 5.1 Cauchy transforms have power series 22Corollary 5.2 Cauchy transforms are infinitely differentiable 23Theorem 5.3 Analytic functions have power series 23Proposition 5.4 Morera’s theorem 24. ... Thus zo is an isolated zero. 24. Corollary

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