Harmonic Functions: Proving Analyticity

[M.C.Koth]

Harmonic Functions(HELP!)

Could someone please help me with this proof.

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.

 

[Brad Barker]

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)?

so start with supposing that your function is harmonic.

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