24 - Harmonic Functions

We know from multivariate calculus the definition of a harmonic function, dependent on the Laplacian, but we define it again.

A function is in its domain if its laplacian, is zero across the entire domain.

Holomorphicity and Harmonicity

Suppose that we have a complex function defined as , then

Harmonic Conjugates

If we have the above case where is holomorphic, implying , then