Copyright © Klaus Piontzik  
German Version 
Following general solution function is specified for the part of the angle: 
Equation 2.11.1.1 
These are the spherical harmonics in complex notation. 
The Euler equation applies:  e^{i·mφ} = cos(m·φ) + i·sin(m·φ) 
The N_{m}
and P_{m}
are the so called Legendre polynomials,
which can be manipulated like constants
in our consideration.
So results total: 


And here you can see again the multiplicative associated sine and cosine functions, so tesseral spherical harmonics or grids. Here equipped with a real and an imaginary part, so a complex function as a general solution for the angle part of the Laplace's equation.. 
200 sides, 23 of them in color 154 pictures 38 tables Production und Publishing: ISBN 9783735738547 Price: 25 Euro 
