Solution 17 (ii).

See text and/or instructor's solution manual.

To prove part (ii) consider the analytic function  [Graphics:../Images/HarmonicFunctionModHome_gr_954.gif].  

Then use the construction in (i) applied to   [Graphics:../Images/HarmonicFunctionModHome_gr_955.gif].  

                   [Graphics:../Images/HarmonicFunctionModHome_gr_956.gif],
                   
                   [Graphics:../Images/HarmonicFunctionModHome_gr_957.gif],
                   
                   [Graphics:../Images/HarmonicFunctionModHome_gr_958.gif],
                   
                   [Graphics:../Images/HarmonicFunctionModHome_gr_959.gif].  

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This solution is complements of the authors.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

(c) 2008 John H. Mathews, Russell W. Howell