证明函数f(z)=z的共轭在z平面上处处连续?
证明函数f(z)=z的共轭在z平面上处处连续?
数学人气:891 ℃时间:2020-01-28 14:11:00
优质解答
复变函数f(z)=u(x,y)+iv(x,y)连续的充要条件是两个二元实函数u(x,y),v(x,y)都连续,本题中f(z)=x-iy,这里u(x,y)=x,v(x,y)=-y在xoy平面上处处连续,所以f(z)在复平面上处处连续.
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