求孤立奇点的留数1/(1+z^4)
问题描述：
求孤立奇点的留数1/(1+z^4)
答
f(z) = 1/(1 + z^4)z = - e^(i*Pi/4)z = e^(i*Pi/4)z = - e^(i*3Pi/4)z = e^(i*3Pi/4)4个都是一阶极点.Res[f(z),- e^(i*Pi/4)] = 1/(4sqrt(2)) + i/(4sqrt(2)) = (1/4)(- 1)^(1/4)Res[f(z),e^(i*Pi/4)] = - 1/(4sqrt...