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Taylor series of upx function

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Taylor series of upx function
Kouznetsov Offline
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#12
02/18/2009, 05:59 AM (This post was last modified: 02/18/2009, 06:06 AM by Kouznetsov.)
Ansus Wrote:So your solution is universal?
Yes.

Ansus Wrote:- Is there compact analytic expression for Taylor serie coefficients?
No. Until now, only the integral equation.

Ansus Wrote:- Can you find analytic expressions for some particular values of tetration (with natural base) and its derivatives, for example, its derivative in 0 (= derivative in 1)?
In some sense, the representation through the Cauchi integral equation is analytic.
However, I would not say that it is very "compact" or explicit.

Ansus Wrote:- Do you derive new properties of the function?
I derive the asymptotic behavior.
See http://en.citizendium.org/wiki/Tetration
Are these properties new?
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Messages In This Thread
Taylor series of upx function - by Zagreus - 09/07/2008, 10:56 AM
RE: Taylor series of upx function - by bo198214 - 09/10/2008, 01:56 PM
RE: Taylor series of upx function - by andydude - 10/23/2008, 10:16 PM
RE: Taylor series of upx function - by Kouznetsov - 11/16/2008, 01:40 PM
RE: Taylor series of upx function - by bo198214 - 11/16/2008, 07:17 PM
RE: Taylor series of upx function - by Kouznetsov - 11/17/2008, 04:11 AM
RE: Taylor series of upx function - by bo198214 - 11/18/2008, 11:49 AM
RE: Taylor series of upx function - by Kouznetsov - 12/02/2008, 12:03 PM
RE: Taylor series of upx function - by Kouznetsov - 12/05/2008, 12:30 AM

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