Magnification of Angles. Let f(:::) be analytic at ;:0'

Chapter 17, Problem 17.1

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Magnification of Angles. Let f(:::) be analytic at ;:0' Suppose that .f' (zo) = O ... , tlc-IJ(~o) = O. Then the mapping lI" = f(z) magnifies angles with vertex at ~o by a factor k. Illustrate this with examples for k = 2, 3, 4.

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