Question

求函数的解析性区域,并求出其导数 (x+y)/(x^2+y^2) + i(x-y)/（x^2+y^2）

Answer 1

解析要求满足柯西黎曼条件：∂u/∂x=∂v/∂y,∂u/∂y=-∂v/∂xu=(x+y)/(x²+y²),v=(x-y)/(x²+y²)∂u/∂x=[(x²+y²)-2x(x+y)]/(x...