Complex Analysis: Theory and Applications · Problem 5.4.15

Complex Integration — Howell & Matthews

Mathematics — Complex Analysis · harmonic-functions

Problem

Given an elegant argument that explains why the following functions are harmonic. (a)

h(x,y) = \sin x \cosh y

. (b)

h(x,y) = \cos x \sinh y

. (c)

h(x,y) = \sinh x \cos y

. (d)

h(x,y) = \cosh x \sin y