7. Let f (z) be an entire function with |f(z)|< C[z| for all z, where C is a constant. Show that f (z) = Az, where A is a constant.
7. Let f (z) be an entire function with |f(z)|< C[z| for all z, where C is a constant. Show that f (z) = Az, where A is a constant.
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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Need help with attached complex analysis question, I cant understand how do this, Thanks for explaining clearly.
![7. Let f (z) be an entire function with f (z)|< C]z| for all z, where C is a constant. Show that
f(z) = Az, where A is a constant.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0548f28d-2867-4ce8-91e2-809a65372be3%2F8bb85c09-59ab-4dd7-89ad-7fded06d6e4d%2Fivt2fsu_processed.png&w=3840&q=75)
Transcribed Image Text:7. Let f (z) be an entire function with f (z)|< C]z| for all z, where C is a constant. Show that
f(z) = Az, where A is a constant.
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