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Lecture notes on several complex variables - math.tamu.edu
www.math.tamu.eduThus every convergence domain is a union of polydiscs centered at the origin. By expanding the Cauchy kernel in a power series, one finds from the iterated Cauchy formula (just as in the one-variable case) that a function holomorphic in a polydisc, or
Lecture notes on several complex variables
www.math.tamu.eduThe domain of convergence of a power series means the interior of the set of points at which the series converges absolutely. 1 For example, the set where the two-variable power series P