Question
A region $R$ in the $z$ -plane and a complex mapping $w=f(z)$ are given. In each case, find the image region $R^{\prime}$ in the $w$ -plane.Strip $0 \leq y \leq 1$ under $w=i z$
Step 1
This mapping represents a rotation through 90 degrees in the complex plane. This is because $i$ is equivalent to $e^{i\pi/2}$, which is a rotation operator in the complex plane. Show more…
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