Tetration

\mathrm {tet} _{b}(x)

for

b=\mathrm {e}

,

b=2

,

b=\exp(1/\mathrm {e} )

, and

b={\sqrt {2}}

versus

x

.

This article is currently under construction. While, use article from wikipedia http://en.wikipedia.org/wiki/Tetration

definiton

Creation of word tetration is attributed to Englidh mathematician Reuben Louis Goodstein ^[1] ^[2].

uxp

This section is not yet written. There is non-finished draft at User:Dmitrii Kouznetsov/Analytic Tetration.

↑ "TETRATION, a term for repeated exponentiation, was introduced by Reuben Louis Goodstein". Earliest Known Uses of Some of the Words of Mathematics, http://members.aol.com/jeff570/t.html
↑ R.L.Goodstein (1947). "Transfinite ordinals in recursive number theory". Journal of Symbolic Logic 12.

http://reglos.de/lars/ffx.html , Lars Kindermann. References about Iterative Roots and Fractional Iteration.
http://math.eretrandre.org/tetrationforum/index.php , Discussion about tetration
http://tetration.itgo.com/ Tetration site by Andrew Robbins
http://www.tetration.org/ Tetration site by Daniel Geisler