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?
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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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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