3. (Analytic branches of multiple-valued functions) (a) Let w+ Vw denote the principal branch. Describe the domain of analyticity of the function S(2) = Ve +I and find its derivative. (b) Let w Vw...

$3. (Analytic branches of multiple-valued functions) (a) Let w+ Vw denote the principal branch. Describe the domain of analyticity of the function S(2) = Ve +I and find its derivative. (b) Let w Vw denote the principal branch. Describe the domain of analyticity of the function g(2) = V – 4 and find its derivative. Is there a branch of V – 4 which is analytic on C\[-2, 2)]? $

Extracted text: 3. (Analytic branches of multiple-valued functions) (a) Let w+ Vw denote the principal branch. Describe the domain of analyticity of the function S(2) = Ve +I and find its derivative. (b) Let w Vw denote the principal branch. Describe the domain of analyticity of the function g(2) = V – 4 and find its derivative. Is there a branch of V – 4 which is analytic on C\[-2, 2)]?

Jun 04, 2022

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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 S(2) = Ve +I and find its derivative. (b) Let w Vw...

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