Complex Analysis: Theory and Applications · Problem 7.2.7

Taylor and Laurent Series — Howell & Matthews

Mathematics — Complex Analysis · taylor-series

Problem

Find

f^{(3)}(0)

for ((a))

f(z) = \displaystyle\sum_{n=0}^{\infty}(3+(-1)^n)^n z^n

. ((b))

g(z) = \displaystyle\sum_{n=1}^{\infty}\frac{(1+i)^n}{n}z^n

. ((c))

h(z) = \displaystyle\sum_{n=0}^{\infty}\frac{z^n}{(\sqrt{3}+i)^n}