#446 We want to consider the conformal mapping

We want to consider the conformal mapping - Math

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We want to consider the conformal mapping g with

where z = x +iy and w=r+is. Here z and w are complex variables and x, y, r and s are real.

1. Write down conditions to describe a circle in the z-plane. Assume that the circle is centered around the point zo and it should go through the point z =1.

2. Find a parametrization of the image of such a circle in the w-plane.

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