04/25/2010, 02:34 PM

(04/25/2010, 10:53 AM)bo198214 Wrote: Is there an elementary real function , such that

is a real polynomial of degree at least 2 without real fixed points.

this question or similar has occured before.

some papers have been written about it , i considered similar questions and i believe it appeared on the math forum ...

ill have to dig ...

i believe hypergeometric solutions were found ...

but sometimes a hypergeo can be expressed by elementary functions ...

personally i considered inverse hypergeometric functions , but those also can be simplified sometimes.

so im optimistic ...

have you tried simple cases such as a*exp(b^x)*exp(c*x) + d ?