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Published in:
2017 | OriginalPaper | Chapter
Cauchy’s Independence of Homotopy Theorem. Integration over Piecewise C 1-paths. Jordan Domains and Integration over their Boundaries
Author : Alexander Isaev
Published in: Twenty-One Lectures on Complex Analysis
Publisher: Springer International Publishing
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We will now state and prove one of the central theorems of the course.Theorem 9.1. (Cauchy’s Independence of Homotopy Theorem) Let $$ D \subset \mathbb{C} $$ be a domain and $$ f \in H(D) $$ .