(b)Let D = {z € C : |z| < 1 } denote the closed unit disk centred at the origin. Determinewhether or not there exists an analytic map f: D D such that f(0) = 0,1+-i) =121and+< 1

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Answered: z E C : [z| < 1 } denote the closed…

z E C : [z| < 1 } denote the closed unit disk centred at t r not there exists an analytic map f: D → D such that f and f'( 1 + + <1 12

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

(b)
Let D = {z € C : |z| < 1 } denote the closed unit disk centred at the origin. Determine
whether or not there exists an analytic map f: D D such that f(0) = 0,
1
+-i) =
12
1
and
+
< 1

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