Complex Analysis: Theory and Applications · Problem 5.3.1

Elementary Functions — Howell & Matthews

Mathematics — Complex Analysis · complex-exponents-principal-value

Problem

Find the principal value of ((a))

4^i

. ((b))

(1+i)^{\pi i}

. ((c))

(-1)^{\frac{1}{\pi}}

. ((d))

(1 + i\sqrt{3})^{\frac{i}{2}}