Chapter 11. Show that
maps the upper half plane Im(z) > 0 onto the channel in the right half plane
bounded by the coordinate axes and rays .
The Schwarz-Christoffel formula for is:

Integrate to obtain:

This is one, formula for the integral. However, we will use the following form of the integral to continue the computations.

The coefficients are , and we obtain

A graph for the solution is:

Mapping onto a right-angled channel.

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(c) John Mathews, 1998, 2006