Question

Locate the singularities of the function (1 + z/1 − z)^1/3 1/1 + z² in the extended z-plane. Draw branch cut (or cuts) to make this function single-valued.

Answer 1

This shows that t = 0, or z = ∞, is not a branch point of the function. Therefore, drawing a finite branch cut from −1 to 1 makes the function singlevalued.