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 [split] Understanding Kneser Riemann method andydude Long Time Fellow Posts: 509 Threads: 44 Joined: Aug 2007 01/13/2016, 09:21 PM (01/13/2016, 05:36 PM)sheldonison Wrote: Lets say we have the Schroeder function, and its inverse $S(z)\;\;S^{-1}(z)$ which have corresponding Abel and super functions, $\alpha(z)=\log_L(S(z))\;\;\alpha^{-1}(z)=S^{-1}(L_0+L^z)\;\;$ Notice that for b=e, $\exp(z)\; L_0=L\;\;$ but this is not the case for other bases. So $\alpha^{-1}(z)=S^{-1}(L_0+L^z)$ $S(\alpha^{-1}(z))=L_0+L^z$ $S(z)=L_0+L^{\alpha(z)}$ $S(z)=L_0+S(z)$ $S(z) - S(z) = L_0 = 0$ which means $L_0 = L = 0$? I don't understand. « Next Oldest | Next Newest »

 Messages In This Thread [split] Understanding Kneser Riemann method - by andydude - 01/13/2016, 04:01 PM RE: Should tetration be a multivalued function? - by marraco - 01/13/2016, 05:31 PM RE: Should tetration be a multivalued function? - by sheldonison - 01/13/2016, 05:36 PM RE: Should tetration be a multivalued function? - by andydude - 01/13/2016, 06:41 PM RE: Should tetration be a multivalued function? - by andydude - 01/13/2016, 09:21 PM RE: Should tetration be a multivalued function? - by sheldonison - 01/13/2016, 10:55 PM RE: Should tetration be a multivalued function? - by andydude - 01/13/2016, 09:29 PM RE: Should tetration be a multivalued function? - by sheldonison - 01/13/2016, 10:58 PM

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