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Dmitrii Kouznetsov's Tetration Extension
#10
bo198214 Wrote:Dmitrii, I am currently programming your tetration extension.
I just want to mention some misprints, that shouldnt go into your published paper.
In formulas (3.2), (3.3), (3.4), (3.6), (4.4) you always omit the minus sign in front of the 1 below the log. Only in the computation formula 4.2 the minus sign is at the right place.
Bo, I am glad to read from you!
Do you mean paper at http://www.ils.uec.ac.jp/~dima/PAPERS/2008analuxp.pdf ?
There is no log in formula (3.2), is there?
Now I have doubts about (3.3); I remember I had to play with phases manually combinig the logarithms; both Mathematica and Maple failed to do it as I wanted.
Can you reproduce Figure 2? Could you show it?

bo198214 Wrote:There may be also some simplifications (avoidance of doublification with and ) if you would put into your assumption, which is quite reasonable and which you are also using in (4.7).
Yes, I assume , but it follows from the analyticity and the assumption that is real at z>-2.

bo198214 Wrote:In formula (3.4),(4.4) either the in should be omitted, or it should be appended whenever you use
Yes, your are right. K is always A-dependent. Better to trash this subscript.
Thank you for your comment.
I had corrected few misprints in the update
http://www.ils.uec.ac.jp/~dima/PAPERS/2008analuxp64.pdf
but not yet those you indicate; perhaps, I sould trace it again.
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Messages In This Thread
RE: Dmitrii Kouznetsov's Tetration Extension - by Kouznetsov - 05/18/2008, 05:31 AM

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