A First Course in Complex Analysis · Problem 7.5.26

Taylor and Laurent Series — Beck, Marchesi, Pixton & Sabalka

Mathematics — Complex Analysis · power-series-representations

Problem

Find a power series representation about the origin of each of the following functions. (a)

\cos z

(b)

\cos(z^2)

(c)

z^2 \sin z

(d)

(\sin z)^2