TOPICS
Search

Gauss's Mean-Value Theorem

Let f(z) be an analytic function in |z-a|<R. Then

f(z)=1/(2pi)int_0^(2pi)f(z+re^(itheta))dtheta

for 0<r<R.

Explore with Wolfram|Alpha

Cite this as:

Weisstein, Eric W. "Gauss's Mean-Value Theorem." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/GausssMean-ValueTheorem.html

Subject classifications