Complex Analysis: Theory and Applications · Problem 8.7.7

Conformal Mapping — Howell & Matthews

Mathematics — Complex Analysis · rouche-theorem

Problem

Let g(z)=3z3−2iz2+iz−7g(z) = 3z^3 - 2iz^2 + iz - 7. (a) Show that there are no zeros in ∣z∣<1|z| < 1. (b) Show that there are three zeros in ∣z∣<2|z| < 2.

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