Example 11.3.  Find the function that is harmonic in the annulus    and takes on the boundary values  

               when  ,  and  
               when  .  

Explore Solution 11.3.

A specific example of the general case.  Find the function that is harmonic in the annulus    and takes on the boundary values

               when  ,  and  
               when  .  

Applications involving similar formulas will be found in Example 11.19.

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