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18.13. Let f(z) be an entire function such that f'(z)| S/z|. Show that f(z) = a + bz2 with some constants a, bEC such that b<1.

18.13. Let f(z) be an entire function such that f'(z)| S/z|. Show that f(z) = a + bz2 with some constants a, bEC such that b<1.

Advanced Engineering Mathematics
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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18.13. Let f(2) be an entire function such that f'(z) <|2|. Show that f(z) = a + bz2 with some constants a, b E C such that [b| < 1. 18 14
Transcribed Image Text:18.13. Let f(2) be an entire function such that f'(z) <|2|. Show that f(z) = a + bz2 with some constants a, b E C such that [b| < 1. 18 14
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