Complex Variables : Harmonic Conjugates - Show that if v and V are harmonic conjugates of u in a domain D, then v (x, y) and V (x, y) can differ at most by an additive constant.
Analytic Functions; Harmonic Functions; Laplace's Equation - 5. Let the function ... be analytic in a domain D that does not include the origin ...
13. ... state why the functions ... are harmonic in D and why ... is in face, a harmonic conjugate
11. ... ...