(12/15/2009, 01:01 AM)dantheman163 Wrote: Upon closer study i think i have found a formula that actually works.

Also i have noticed that this can be more generalized to say,

if

then

Actually you rediscovered the Kœnigs formula (2.24 in the (unfinished) overview paper).

for . is the derivative at the fixed point , which is .

Good work!