Example 30.  The conformal mapping  .
It can be constructed via the Schwarz-Christoffel integral  ,  
also  .  
The image of the upper half-plane    is the exterior of the semi-infinite strip  .
Remark. This is Exercise 6 in Section 11.9 and Exercise 2 (Extra Example 2) in  Section 11.10, and is illustrated in Figure 11.80 and Figure 11.89.
Hint: Set  .  In the w-plane , and the exterior angles are  .

Details 30.

Under Construction

Return to the Complex Analysis Project