Problem

Consider the multiple-valued function F(z) = (z − 1 + i)1/2.(a) What is the branch point o...

Consider the multiple-valued function F(z) = (z − 1 + i)1/2.

(a) What is the branch point of F? Explain.


(b) Explicitly define two distinct branches of f1 and f2 of F. In each case, state the branch cut.

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