08/31/2010, 02:41 PM

Mike,

Thanks a lot for your links and your post! I'll have to program it into pari-gp, and verify that it matches the discreet Fourier series terms. Next goal; rewrite the equations for other bases (except ), especially for bases<sqrt(2).

- Sheldon

Thanks a lot for your links and your post! I'll have to program it into pari-gp, and verify that it matches the discreet Fourier series terms. Next goal; rewrite the equations for other bases (except ), especially for bases<sqrt(2).

- Sheldon

(08/31/2010, 06:51 AM)mike3 Wrote: ....

Doing some tests, it appears that

has only one occurrence of , and no higher powers of it....

.

And this is the recurrent formula for the general coefficients. Together with and , this completes the as-close-to-explicit-as-possible-so-far formula for the coefficients of the Fourier series for the regular iteration.

EDIT: posts corrected to include factorials on terms in Bell polynomials