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 Superroots and a generalization for the Lambert-W tommy1729 Ultimate Fellow Posts: 1,471 Threads: 352 Joined: Feb 2009 12/01/2015, 11:58 PM @andrew Congrats with your result. @gottfried The thing is solving (x_m ^ x_m)^[m] = y is only close to solving X_n^^[n] = y ( n = m in value ) When Y is large and n (or m) is small. For instance x in x^x^x^x = 2000 is close to Y in (y^y)^(y^y) = 2000. But a in a^a^a^a = 2,718 is different from B in (b^b)^(b^b) = 2,718. This is logical considering the fixpoint X^x = x Gives x = {-1,1}. So one method is attracted to eta and the other to 1. For y > e that is. For y < e its even worse. Since we are mainly intrested in small y and Large n ... This idea seems not so practical here. Guess it might be more usefull for the base-change .... Well Maybe ... Regards Tommy1729 « Next Oldest | Next Newest »

 Messages In This Thread Superroots and a generalization for the Lambert-W - by Gottfried - 11/09/2015, 01:17 PM RE: Superroots and a generalization for the Lambert-W - by nuninho1980 - 11/09/2015, 11:27 PM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 11/10/2015, 12:06 PM RE: Superroots and a generalization for the Lambert-W - by tommy1729 - 11/10/2015, 09:38 AM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 11/10/2015, 12:04 PM RE: Superroots and a generalization for the Lambert-W - by tommy1729 - 11/10/2015, 11:19 PM RE: Superroots and a generalization for the Lambert-W - by andydude - 11/13/2015, 05:58 PM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 11/13/2015, 07:05 PM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 11/16/2015, 01:08 AM RE: Superroots and a generalization for the Lambert-W - by andydude - 11/21/2015, 05:05 AM RE: Superroots and a generalization for the Lambert-W - by andydude - 11/22/2015, 08:12 PM RE: Superroots and a generalization for the Lambert-W - by andydude - 11/24/2015, 12:51 AM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 11/24/2015, 02:56 AM RE: Superroots and a generalization for the Lambert-W - by andydude - 11/24/2015, 07:16 AM RE: Superroots and a generalization for the Lambert-W - by andydude - 11/24/2015, 07:00 AM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 12/01/2015, 03:13 PM RE: Superroots and a generalization for the Lambert-W - by tommy1729 - 12/01/2015, 11:58 PM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 12/02/2015, 03:49 AM RE: Superroots and a generalization for the Lambert-W - by tommy1729 - 12/02/2015, 01:22 PM RE: Superroots and a generalization for the Lambert-W - by andydude - 12/02/2015, 12:48 AM RE: Superroots and a generalization for the Lambert-W - by Gottfried - 12/02/2015, 02:43 AM RE: Superroots and a generalization for the Lambert-W - by andydude - 12/09/2015, 06:34 AM RE: Superroots and a generalization for the Lambert-W - by andydude - 12/30/2015, 09:49 AM

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