Complex Analysis: Theory and Applications · Problem 3.2.7

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · nowhere-differentiable-functions

Problem

Use any method to show that the following functions are nowhere differentiable. (a)

h(z) = h(x+iy) = e^y \cos x + ie^y \sin x

. (b)

g(z) = z + \bar{z}