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(Solved): Consider The Multivalued Function F(z) = . (b) Define A Branch Of F That Is Holomorphic On The Set C...


Consider the multivalued function f(z) = (2 - 1) .

(b) Define a branch of f that is holomorphic on the set CD(0) = {z ∈C : |z| > 1}.

the hint tell me observe that z^2−1 = z^2(1−z^(−2)) for non-zero z, I personal think it should be V1+2 and V 2 - 1 .

(2 - 1) D(0) V1+2 V 2 - 1


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