Question 2 (a) Find all the analytic functions for which Justify all of your steps. (b) Prove that 3Rez=21mz. (Rez)¹ |2|² z = 0, 0, z = 0, is continuous for all z E C. Justify all of your steps. f(z) =

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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2a,b

Question 2
(a) Find all the analytic functions for which
Justify all of your steps.
(b) Prove that
3Rez = 2Im z.
(Rez)4
z = 0,
|z|²
0,
z = 0,
is continuous for all z E C. Justify all of your steps.
f(z):
=
>
Transcribed Image Text:Question 2 (a) Find all the analytic functions for which Justify all of your steps. (b) Prove that 3Rez = 2Im z. (Rez)4 z = 0, |z|² 0, z = 0, is continuous for all z E C. Justify all of your steps. f(z): = >
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