Example 10.13.  Show that the transformation    is a one-to-one conformal mapping of the vertical  strip    onto the w-plane slit along the rays    and  .  

Figure 10.17  The transformation  .

Explore Solution 10.13.

Enter the function  f(z) = sin(z).  

The image is traced using a graph.

We see that the transformation  w  =  f(z) = sin(z)  maps the vertical  strip    onto the w-plane slit along the rays  .  

(c) 2006 John H. Mathews, Russell W. Howell