Chapter 11. Show that the mapping maps the upper half plane
onto the domain consisting of quadrants one, two and three slit along the segment from z = 0 to z = i.
The Schwarz-Christoffel formula for is:

Integrate to obtain:

The coefficients are , and we obtain

A graph for the solution is:

Fluid flow over a dam.

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(c) John Mathews, 1998, 2006