5. Let f be entire and suppose there are M > 0, R > 0 and a positive integer k such that If (z)| < M|z|2 for |z| > R. Show that f is a polynomial of degree not greater than 2.
5. Let f be entire and suppose there are M > 0, R > 0 and a positive integer k such that If (z)| < M|z|2 for |z| > R. Show that f is a polynomial of degree not greater than 2.
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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![5. Let f be entire and suppose there are M > 0, R > 0 and a positive integer k such that
\f (z)[ < M]z|2 for |z| > R. Show that f is a polynomial of degree not greater than 2.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0548f28d-2867-4ce8-91e2-809a65372be3%2F69fb4f48-d03c-4049-87d3-e42ed91dd0d8%2Fdzy335j_processed.png&w=3840&q=75)
Transcribed Image Text:5. Let f be entire and suppose there are M > 0, R > 0 and a positive integer k such that
\f (z)[ < M]z|2 for |z| > R. Show that f is a polynomial of degree not greater than 2.
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