Complex Analysis: Theory and Applications · Problem 2.4.9

Analytic and Harmonic Functions — Howell & Matthews

Mathematics — Complex Analysis · riemann-surfaces

Problem

Describe a Riemann surface for the domain of definition of (a)

w = f(z) = z^{\frac{1}{3}}

. (b)

w = f(z) = z^{\frac{1}{4}}