Complex Analysis: Theory and Applications · Problem 3.3.3

Sequences, Series, and Fractals — Howell & Matthews

Mathematics — Complex Analysis · harmonic-quadratic-relation

Problem

Let

a

b

, and

c

be real constants. Determine a relation among the coefficients that will guarantee that the function

\phi(x,y) = ax^2 + bxy + cy^2

is harmonic.