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 elementary superfunctions tommy1729 Ultimate Fellow Posts: 1,370 Threads: 335 Joined: Feb 2009 04/25/2010, 02:34 PM (04/25/2010, 10:53 AM)bo198214 Wrote: Is there an elementary real function $F$, such that $F(1+F^{-1}(x))$ 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 ? « Next Oldest | Next Newest »

 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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