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Uniqueness of tetration. Small lemma.
#1
I try to simplify the proof of uniqueness of holomorphic tetration by bo198214.

Let and and
Let
Let be entire 1-periodic function.
Let .

According to the Picard’s Little Theorem [1],
either is trivial function (constant),
or or such that .

Let .
Let

Assume, is not constant.
How to prove that at least one of these two statements is true: ,
?

[1] Weisstein, Eric W. ”Picard’s Little Theorem.” From MathWorld–A Wolfram Web Resource. http://mathworld.wolfram.com/PicardsLittleTheorem.html
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Messages In This Thread
Uniqueness of tetration. Small lemma. - by Kouznetsov - 11/03/2008, 05:10 PM

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