07/05/2010, 07:28 PM

07/08/2010, 01:27 AM

Let's start there. Then, we plug in 1 to get . Then .

07/08/2010, 05:21 AM

(07/05/2010, 07:28 PM)kobi_78 Wrote: [ -> ]Hi,

Does anyone have an idea how to solve the following functional equation?

Thanks

Thats called "Julia equation", generally

f(F(x))=F'(x)f(x) to solve for f.

You obtain an Abel function from it, or obtain it from an Abel function via:

you can solve it at a fixed point via comparing the powerseries coefficients.