Complex Analysis: Theory and Applications · Problem 5.4.8

Complex Integration — Howell & Matthews

Mathematics — Complex Analysis · complex-trig-analyticity

Problem

Show that (a) sin⁡zˉ=sin⁡z‾\sin \bar{z} = \overline{\sin z} holds for all zz. (b) sin⁡zˉ\sin \bar{z} is nowhere analytic. (c) cosh⁡zˉ=cosh⁡z‾\cosh \bar{z} = \overline{\cosh z} holds for all zz. (d) cosh⁡zˉ\cosh \bar{z} is nowhere analytic.

Related theory

Browse the problem library