This article is cited in 4 papers

Tetrational as special function

D. Yu. Kuznetsov

Institute for Laser Science, University of Electro-Communications, Tokyo, Japan

Abstract: Holomorphic tetrational (superexponential) to the base $e$ and its inverse function (arctetrational) are approximated with elementary functions.

Key words: tetrational, superfunction, Abel equation, Abel function, holomorphic extension, analytic continuation, numerical implementation, special functions, Taylor expansion, superexponential, arctetrational, superlogarithm, non-integer iteration.

UDC: 519.688, 517.18

Received: 16.02.2009