请输入您要查询的字词:

 

单词 GaussMeanValueTheoremForHarmonicFunctions
释义

Gauss’ mean value theorem for harmonic functions


If the function  u(z)u(x,y)  is harmonic in a domain of complex plane which contains the disc  |z-z0|r,  then

u(z0)=12π02πu(z0+reiφ)𝑑φ.(1)

Conversely, if a real function u(x,y) is continuous in a domain G of 2 and satisfies on all circles of G the equation (1), then it is harmonic.

随便看

 

数学辞典收录了18232条数学词条,基本涵盖了常用数学知识及数学英语单词词组的翻译及用法,是数学学习的有利工具。

 

Copyright © 2000-2023 Newdu.com.com All Rights Reserved
更新时间:2025/5/4 8:23:51