Let f(z) be analytic at z 0 . Suppose that f'(z 0 ) = 0,

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Let f(z) be analytic at z₀.Suppose that f'(z₀) = 0, · · ·, f^(k-1)(z₀) = 0. Then the mapping w = f(z) magnifies angles with vertex at z₀ by a factor k. Illustrate this with examples for k = 2, 3, 4.

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Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

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Question Posted: Oct 04, 2022 03:18 AM

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Let f(z) be analytic at z 0 . Suppose that f'(z 0 ) = 0,

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Example Let fz be the power series This is analytic at z0 and since ...View the full answer

Advanced Engineering Mathematics

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