Q3(a). Let f(z) be analytic in the unit disk |z|<1, if f')(0)= f(3) (0)= f(5) (0)=…=0. Then, prove%3Dthat function f(z) is even function for all z in this disk.

Since f(z) is analytic in unit disk. So we can express f(z) can be expressed as Taylor Series.…

Answered: Q3(a). Let f(z) be analytic in the unit…

Q3(a). Let f(z) be analytic in the unit disk |z|<1, if f')(0)= f® (0)= f(5)(0)==0. Then, prove that function f(z) is even function for all z in this disk.

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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Q3(a). Let f(z) be analytic in the unit disk |z|<1, if f')(0)= f(3) (0)= f(5) (0)=…=0. Then, prove
%3D
that function f(z) is even function for all z in this disk.

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