# Harmonic Functions(HELP )

1. Oct 12, 2005

### M.C.Koth

Harmonic Functions(HELP!!!!)

Show that if O(x,y) is harmonic, then Ox - iOy is analytic(you may assume that O has continuous partial derivatives of all orders.)

How would I go about solving this.

2. Oct 12, 2005

what's the definition of a harmonic function?

what's the definition of an analytic function (rather, how do you judge if a function is analytic--ie, cauchy-riemann equations)?

then try and show that your function must also satisfy the cauchy-riemann equations for all x and y.