Can Someone please help me with the following.
complex integral of 1/z over an ellipse is independent of choice of ellipse centered at zero.
Why is this the case. Is it due to homotopy invariance, if so how?
2026-05-06 08:50:54.1778057454
complex integral of 1/z independent of choice of ellipse?
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For every curve surrounding the pole of the function ($0$) exactly once, the complex integral over this curve is equal to the so-called residue.
Every ellipse around the origin has this property.