Fourier analysis with additional coefficient for the R-matirx

*To*: mathgroup at smc.vnet.net*Subject*: [mg48489] Fourier analysis with additional coefficient for the R-matirx*From*: "Mars" <MarsJO at pentech.ac.za>*Date*: Wed, 2 Jun 2004 04:21:53 -0400 (EDT)*Sender*: owner-wri-mathgroup at wolfram.com

I have simplified the R-matrix theory for calculating cross sections. In the equation y, Ci (i=0..2) and u are functions of x and can all be calculated. The equation is y(x)=C0(x)+Sum(Bl*C1(x)Pl)+Sum(Tl*C2(x)Pl*cos(u(x)))+Sum(Rl(-C2(x)Pl*sin(u(x))) The summation is from l=0..infinity and Pl is the (cosine of the) Legendre polynomial. This is a Fourier series analysis, with the exclusion of the second term, and can easily be solved for Tl and Rl with mathematica. However, I would like to know how one can solve all three Bl, Tl and Rl. Regards Johan Mars Cape Peninsula University of Technology.