2. Show that maps
the upper half-plane onto the domain indicated in Figure
Hint: Set and
Figure 11.78 The region with and .
Explore Extra Solution 2.
Enter the formula and integrate it to construct f(z).
We will use this form of the integral to continue the computations.
Now solve for the coefficients A and B.
Use Mathematica to graph conformal mapping w = f(z).
(c) 2006 John H. Mathews, Russell W. Howell