Complex Analysis: Theory and Applications · Problem 2.5.10

Analytic and Harmonic Functions — Howell & Matthews

Mathematics — Complex Analysis · reciprocal-transformation

Problem

Show that the transformation w=2zw = \frac{2}{z} maps the disk ∣z−i∣<1|z - i| < 1 onto the lower half-plane Im⁡(w)<−1\operatorname{Im}(w) < -1.

Browse the problem library