Consider the functi on f(z) = Z -9 with Tal >1 .%3D|- azShow that if 12l >1, the If(z)|< 1

Given the function f(z)=z-a1-a¯z with |a|>1.To prove that if |z|>1, then |f(z)|<1

Answered: Consider the functi on f(z) = 2 -a with…

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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Consider the functi on f(z) = 2 -a with lal >1 %3D 1- az Show that if 121 >1, the lf(Z)< 1