Harmonic function

Common card · No. 209350

In mathematics, mathematical physics and the theory of stochastic processes, a harmonic function is a twice continuously differentiable function ⁠ f : U → R {\displaystyle f\colon U\to \mathbb {R} } ⁠, where ⁠ U {\displaystyle U} ⁠ is an open subset of ⁠ R n {\displaystyle \mathbb {R} ^{n}} ⁠, that satisfies Laplace's equation, that is, ∂ 2 f ∂ x 1 2...