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2. Suppose that f(z) is entire and Re f(2) is bounded. Show that f(2) is a constant function. Hint: Consider g(z) = ef(z) = u(x,y)+iv(x,y), What is g(2)| then?

2. Suppose that f(z) is entire and Re f(2) is bounded. Show that f(2) is a constant function. Hint: Consider g(z) = ef(z) = u(x,y)+iv(x,y), What is g(2)| then?

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.4: Average Rate Of Change Of A Function
Problem 4.2E: bThe average rate of change of the linear function f(x)=3x+5 between any two points is ________.
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2. Suppose that f(z) is entire and Re f(2) is bounded. Show that f(2) is a constant function. Hint: Consider g(z) = ef(z) = u(x,y)+iv(x,y), What is g(2)| then?
Transcribed Image Text:2. Suppose that f(z) is entire and Re f(2) is bounded. Show that f(2) is a constant function. Hint: Consider g(z) = ef(z) = u(x,y)+iv(x,y), What is g(2)| then?
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