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Superroots (formal powerseries)
#4
A.Robbins On Analytic iteration... (2009) See pages 18-21; some more formulae are derived there


"limit of self-superroots is exp(exp(-1))..."
(msg 2009-10) initial conjecture
(msg 2009-10)  proof

a curiosity/paradox(?) with limit of consecutive orders of superroots
(msg 2009-02) superroots of real numbers x>e

Connection between superroot and Lambert-W:
(msg 2008-03) Lambert W function and the Super Square Root

(msg 2008-03) Deriving tetration from selfroot?

I.Galidakis Hyperroot with Lambert W (2009) This discussion gives also code for maple for some investigations  

Ideas for superroots of higher order
2019 Aug: MSE-question on superroots  
2019 Aug: My own answer for generalization of the Lambert-W-formula for the higher order superroots
A small treatize on the generalization of Lambert-W on my webspace (2015/2017) (referred to in my MSE-answer)
Gottfried Helms, Kassel
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Messages In This Thread
Superroots (formal powerseries) - by Gottfried - 10/25/2009, 12:09 PM
RE: Superroots (formal powerseries) - by andydude - 10/26/2009, 01:50 AM
Superroot: List of relevant msg's/threads - by Gottfried - 10/26/2009, 02:13 PM
RE: Superroots (formal powerseries) - by robo37 - 10/28/2009, 09:20 AM
Superroots article "WexZal" - by Gottfried - 10/29/2009, 05:56 AM
RE: Superroots article "WexZal" - by bo198214 - 10/29/2009, 12:08 PM
RE: Superroots article "WexZal" - by Gottfried - 10/29/2009, 01:55 PM
RE: Superroots article "WexZal" - by bo198214 - 10/29/2009, 10:10 PM
RE: Superroots (formal powerseries) - by Stan - 04/05/2011, 03:22 AM

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