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- n. A holomorphic function
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The modified tetration does not satisfy the condition of wuasi-periodicity and does not satisfy the criterion of holomorphism in the definition of tetration.
One has no need to evaluate tetration in order to see the margin of the hange of holomorphism of the modified tetration.
Assording to the theorem above, the modified tetration does not satisfy the condition of quasi-periodicity, and does not satisfy the criterion of holomorphism in the definition of tetration.
Even the reduction of the range of holomorphism in the requirement allows to consider tetration with modified argument.
− 1 and 0, reduces the range of holomorphism, approximately, to the strip at the complex z - plane, at least in the range of the figures.