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求孤立奇点的留数1/(1+z^4)

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求孤立奇点的留数1/(1+z^4)
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(2)) - i/(4sqrt(2)) = (- 1/4)(- 1)^(1/4)
Res[f(z),- e^(i*3Pi/4)] = - 1/(4sqrt(2)) + i/(4sqrt(2)) = (1/4)(- 1)^(3/4)
Res[f(z),e^(i*3Pi/4)] = 1/(4sqrt(2)) - i/(4sqrt(2)) = (- 1/4)(- 1)^(3/4)