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Timeline for Cauchy integral and residue theorem

Current License: CC BY-SA 4.0

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Sep 8, 2019 at 13:17 comment added Alexandre Eremenko Yes. If you integrate on the circle $|t|=r$ instead, and then take a limit when $r\to1-,$ you obtain one answer and if you take the limit when $r\to1+,$ you obtain the other answer.
Sep 7, 2019 at 23:20 comment added BeeTiau Thanks for replying my question. When you say that the books might perhaps use a "different" sense, is it something to do with the integration of the "internal region" or "external region" around the boundary $c$?
Sep 7, 2019 at 18:42 history answered Alexandre Eremenko CC BY-SA 4.0