Tetration/Definition: Difference between revisions

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A definition or brief description of Tetration.

Holomorphic function characterized in that at integer values of its argument it can be interpreted as iterated exponent.

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+Holomorphic function characterized in that at integer values of its argument it can be interpreted as iterated exponent.
-"Write the definition here (maximum one sentence of 100 characters, ignoring formatting characters). Don't include the term defined in the definition itself, and start the text with a capital letter.
-Further details of how a definition should look like are given at [[CZ:Definitions#Format of the definition itself]]. (Delete this note, including the enclosing quotation marks, after reading.)"
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-The description of the mathematical function <math>\mathrm{tet}_b(z)</math> that is [[holomorphic]] at least in the right hand side part of the [[complex plane]], characterized in that, at [[integer]] values of its argument <math>z</math>, the function can be interpreted as iterated [[exponentiation]] of the base <math>b</math>, applied <math>z</math> times.
-Oh, mein Gott; this is too long... I try again.
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-[[Holomorphic function]] characterized in that at [[integer]] values of its argument it can be interpreted as iterated [[exponent]].