Complex Analysis: Theory and Applications · Problem 3.2.4

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · cauchy-riemann-polar-ray

Problem

Let

f

be differentiable at

z_0 = r_0 e^{i\theta_0}

. Let

z

approach

z_0

along the ray

r > 0

\theta = \theta_0

and use Equation (3.1) to show that Equation (3.14) holds.