(b) Let f be an entire function. Prove that f is constant if there is a disk D(a, ro) such that f(C)n D(a, ro) = 0.
(b) Let f be an entire function. Prove that f is constant if there is a disk D(a, ro) such that f(C)n D(a, ro) = 0.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Transcribed Image Text:(b) Let \( f \) be an entire function. Prove that \( f \) is constant if there is a disk \( D(a, r_0) \) such that \( f(\mathbb{C}) \cap D(a, r_0) = \emptyset \).
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