Titlebook: Complex Analysis in One Variable; Raghavan Narasimhan,Yves Nievergelt Textbook 2001Latest edition Birkh?user Boston 2001 Meromorphic funct

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The Inhomogeneous Cauchy-Riemann Equation and Runge’s TheoremWe shall obtain an explicit solution which leads to a variant of the Cauchy integral formula. This variant can often be used instead of the usual Cauchy formula, and has the advantage of not involving winding numbers. We shall illustrate this principle with a variant of the argument principle and a proof of the Runge theorem.

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