11/07/2009, 04:47 PM

(11/06/2009, 11:29 PM)bo198214 Wrote: , , , .

This gives the following unsimplified coefficients of :

One can see that the coefficients are polynomials in with rational coefficients in .

One needs to investigate whether is analytic in with .

I just wanted to unify the variables: with we can write:

, , or shorter, setting and

, , .

The thing is now that Lambert has a singularity at , i.e. if approaches .

The question is whether this singularity gets compensated somehow by the infinite sum.

I want to further simplify the formula: with

,

where are polynomials in with coefficients that are rational functions in .

I hope i dint put errors somewhere;