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Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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
Transcribed Image Text:3. Let f(z) be an analytic function in D = B₁(0) = {x² + y² < 1} and f(z)| = 1. Show that
f(2)= C. Hint: differentiate the equation u² + v² = 1 with respect to x and y respectively, and
then use Cauchy-Riemann equation.
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