Prove that any entire function is identically constant on C if if either one of the following condition holds a) f(z)| ≥ 0.2023 for all z E C. b) f = 0 on an uncountable subset of C.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Prove that any entire function is identically constant on C if if either one of the
following condition holds
a) |ƒ(z)| ≥ 0.2023 for all z € C.
b) f = 0 on an uncountable subset of C.
Transcribed Image Text:Prove that any entire function is identically constant on C if if either one of the following condition holds a) |ƒ(z)| ≥ 0.2023 for all z € C. b) f = 0 on an uncountable subset of C.
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