Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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3. (Analytic branches of multiple-valued functions) (a) Let w + Vw denote the principal branch. Describe the domain of analyticity of the function f(2) = Ve + I and find its derivative. (b) Let w + Jw denote the principal branch. Describe the domain of analyticity of the function g(2) = Vz2 – 4 and find its derivative. Is there a branch of vz² – 4 which is analytic on C\[-2, 2]?
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Transcribed Image Text:3. (Analytic branches of multiple-valued functions) (a) Let w + Vw denote the principal branch. Describe the domain of analyticity of the function f(2) = Ve + I and find its derivative. (b) Let w + Jw denote the principal branch. Describe the domain of analyticity of the function g(2) = Vz2 – 4 and find its derivative. Is there a branch of vz² – 4 which is analytic on C\[-2, 2]?
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