Complex Analysis: Theory and Applications · Problem 9.1.8

Conformal Mapping — Howell & Matthews

Mathematics — Complex Analysis · conformal-mappings

Problem

f

is analytic at

z_0

and

f'(z_0) \neq 0

, show that the function

g(z) = \overline{f(z)}

preserves the magnitude, but reverses the sense, of angles at

z_0