Complex Analysis: Theory and Applications · Problem 3.1.1

Analytic and Harmonic Functions — Howell & Matthews

Mathematics — Complex Analysis · complex-differentiation

Problem

Find the derivatives of the following functions. (a)

g(z) = (z^2 - iz + 9)^5

. (b)

h(z) = \dfrac{2z+1}{z+2}

for

z \neq -2

. (c)

F(z) = (z^2 + (1-3i)z + 1)(z^4 + 3z^2 + 5i)