Complex Analysis: Theory and Applications · Problem 1.4.10

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · arg-quotient-identity

Problem

Establish the identity arg⁡ ⁣(z1z2)=arg⁡z1−arg⁡z2\arg\!\left(\dfrac{z_1}{z_2}\right) = \arg z_1 - \arg z_2.

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