A First Course in Complex Analysis · Problem 41

Integration — Beck, Marchesi, Pixton & Sabalka

Mathematics — Complex Analysis · complex-argument

Problem

Is arg⁡(zˉ)=−arg⁡(z)\arg(\bar{z}) = -\arg(z) true for the multiple-valued argument? What about Arg⁡(zˉ)=−Arg⁡(z)\operatorname{Arg}(\bar{z}) = -\operatorname{Arg}(z) for the principal branch?

Related theory

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