Complex Analysis: Theory and Applications · Problem 9.1.1

Conformal Mapping — Howell & Matthews

Mathematics — Complex Analysis · conformal-mappings

Problem

State where the following mappings are conformal. (a)

w = \exp z

. (b)

w = \sin z

. (c)

w = z^2 + 2z

. (d)

w = \exp(z^2 + 1)

. (e)

w = \dfrac{1}{z}

. (f)

w = \dfrac{z+1}{z-1}