English

Tetration: an iterative approach

Mathematical Physics 2014-10-16 v1 math.MP

Abstract

A matrix approach to continuous iteration is proposed for general formal series. It leads, in particular, to an order{to{order iteration of the exponential function, and consequently to an algorithmic approach to tetration. Lower{order approximations suggest that tetration may come to be of great interest for the description of involved dynamical systems.

Keywords

Cite

@article{arxiv.1410.3896,
  title  = {Tetration: an iterative approach},
  author = {R. Aldrovandi},
  journal= {arXiv preprint arXiv:1410.3896},
  year   = {2014}
}

Comments

16 pages

R2 v1 2026-06-22T06:23:48.676Z