Gauss’ mean value theorem

Let Ω be a domain in and suppose f is an analytic functionMathworldPlanetmath on Ω. Furthermore, let C be a circle inside Ω with center z0 and radius r. Then f(z0) is the mean value of f along C, that is,

Title Gauss’ mean value theorem
Canonical name GaussMeanValueTheorem
Date of creation 2013-03-22 13:35:33
Last modified on 2013-03-22 13:35:33
Owner Johan (1032)
Last modified by Johan (1032)
Numerical id 12
Author Johan (1032)
Entry type Theorem
Classification msc 30E20
Related topic GaussMeanValueTheoremForHarmonicFunctions
Related topic AverageValueOfFunction