Locate and classify the singularities of the function (z + 2)−1 (1 − z2)−1/2 in the extended z-plane. Draw branch cut (or cuts) to make the function single-valued.

Locate and classify the singularities of the function (z + 2)−1 (1 �

1.	Locate and classify the singularities of the function (z + 2)−1 (1 − z2)−1/2 in the extended z-plane. Draw branch cut (or cuts) to make the function single-valued.
Answer» The function (z + 2)⁻¹ (1 − z²)^−1/2has a simple pole at −2 and branch points at ±1. This function is single-valued in the plane cut from −1 to 1.

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Locate and classify the singularities of the function (z + 2)−1 (1 − z2)−1/2 in the extended z-plane. Draw branch cut (or cuts) to make the function single-valued.

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