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 Actual formulas for tetration and its derivative GFR Member Posts: 174 Threads: 4 Joined: Aug 2007 08/31/2007, 10:21 PM Well, unfortunately, no magic at all. Formulas 1 and 2 can be easily obtained, taking into account the hyperoperational properties of tetration, e.g..: e#(x-1) = ln(e#x) as well as the definition of the product logarithm: if x . e^x = z then: x = ProductLog[z]. However, it is interesting to remind that the product logarithm is a complex function, with two real branches. I shall come back to it. Please see the attached short pdf comment. I am too lazy to insert it in this text. GFR Attached Files   No magic.pdf (Size: 5.96 KB / Downloads: 397) « Next Oldest | Next Newest »

 Messages In This Thread Actual formulas for tetration and its derivative - by hyper4geek - 08/31/2007, 03:10 PM RE: Actual formulas for tetration and its derivative - by bo198214 - 08/31/2007, 03:37 PM RE: Actual formulas for tetration and its derivative - by hyper4geek - 08/31/2007, 05:05 PM RE: Actual formulas for tetration and its derivative - by jaydfox - 08/31/2007, 05:12 PM RE: Actual formulas for tetration and its derivative - by jaydfox - 08/31/2007, 11:29 PM RE: Actual formulas for tetration and its derivative - by jaydfox - 08/31/2007, 05:17 PM RE: Actual formulas for tetration and its derivative - by jaydfox - 08/31/2007, 05:31 PM RE: Actual formulas for tetration and its derivative - by jaydfox - 08/31/2007, 05:40 PM RE: Actual formulas for tetration and its derivative - by hyper4geek - 08/31/2007, 05:51 PM RE: Actual formulas for tetration and its derivative - by andydude - 08/31/2007, 07:04 PM RE: Actual formulas for tetration and its derivative - by bo198214 - 08/31/2007, 07:28 PM RE: Actual formulas for tetration and its derivative - by andydude - 08/31/2007, 07:59 PM RE: Actual formulas for tetration and its derivative - by bo198214 - 08/31/2007, 08:05 PM RE: Actual formulas for tetration and its derivative - by GFR - 08/31/2007, 10:21 PM RE: Actual formulas for tetration and its derivative - by bo198214 - 08/31/2007, 10:26 PM

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