##### 柯西-黎曼方程 - 柯西-黎曼方程 - **柯西-黎曼方程**是两个[[偏微分方程]], 也是[[复函数]] $f(z)=u(x,y)+iv(x,y)$ 成为[[解析函数]]的充分必要条件, 需要 $u,v$ 偏导数连续 - $\displaystyle\frac{\partial u}{\partial x} = \frac{\partial v}{\partial y}$ - $\displaystyle\frac{\partial u}{\partial y} = -\frac{\partial v}{\partial x}$