Any function which satisfies the Laplace's equation is known as a harmonic function.
If f(z) = u + iv is an analytic function, then u and v are both harmonic functions. ∂^{2}u/∂x^{2} + ∂^{2}u/∂y^{2} = 0 ∂^{2}v/∂x^{2} + ∂^{2}v/∂y^{2} = 0 Such functions u,v are called Conjugate harmonic functions as u + iv is also analytic function. |
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