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elementary superfunctions
#37
(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 ?
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Messages In This Thread
elementary superfunctions - by bo198214 - 04/23/2009, 01:25 PM
RE: elementary superfunctions - by bo198214 - 04/23/2009, 02:23 PM
RE: elementary superfunctions - by bo198214 - 04/23/2009, 03:46 PM
RE: elementary superfunctions - by tommy1729 - 04/27/2009, 11:16 PM
RE: elementary superfunctions - by bo198214 - 04/28/2009, 08:33 AM
RE: elementary superfunctions - by bo198214 - 03/27/2010, 10:27 PM
RE: elementary superfunctions - by bo198214 - 04/18/2010, 01:17 PM
RE: elementary superfunctions - by tommy1729 - 04/18/2010, 11:10 PM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 08:22 AM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 09:11 AM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 09:23 AM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 10:48 AM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 11:35 AM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 12:12 PM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 12:42 PM
RE: elementary superfunctions - by bo198214 - 04/25/2010, 01:10 PM
RE: elementary superfunctions - by Kouznetsov - 04/25/2010, 01:52 PM
Super-functions - by Kouznetsov - 05/11/2009, 02:02 PM
[split] open problems survey - by tommy1729 - 04/25/2010, 02:34 PM
RE: [split] open problems survey - by bo198214 - 04/25/2010, 05:15 PM

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