Definition:Reversed Contour/Complex Plane

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Definition

Let $C$ be a contour in the complex plane $\C$.

Then $C$ is defined as a concatenation of a finite sequence $\sequence {C_1, \ldots, C_n}$ of directed smooth curves in $\C$.


The reversed contour of $C$ is denoted $-C$ and is defined as the concatenation of the finite sequence:

$-C_n, -C_{n-1}, \ldots, -C_1$

where $-C_k$ is the reversed directed smooth curve of $C_k$ for all $i \in \set {1, \ldots, n}$.


Also denoted as

The reversed contour of $C$ is denoted as $C^-$ in some texts.


Also see


Sources