Hostname: page-component-77c89778f8-7drxs Total loading time: 0 Render date: 2024-07-20T08:05:59.592Z Has data issue: false hasContentIssue false

Infinite exponentials

Published online by Cambridge University Press:  22 September 2016

P. J. Rippon*
Affiliation:
Formerly of University College, Cork Now at The Open University, Milton Keynes

Extract

1. Introduction

A question of the following type recently appeared in a mathematics contest for high school students in the U.S.A.

Type
Research Article
Copyright
Copyright © Mathematical Association 1983

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Barrow, D. F., Infinite exponentials, Amer. Math. Monthly, 43 (1936), 150160.Google Scholar
2. Carlsson, A., Om Iterarder Funktioner, Ph.D., Uppsala (1907).Google Scholar
3. Euler, L., De formulis exponentialibus replicatus, Opera Omnia, Series Primus XV, 268-297; Acta Academiae Petropolitanae, 1 (1777), 3860.Google Scholar
4. Fatou, P., Sur l’itération des fonctions transcendantes entières, Acta Math., 47 (1926), 337370.Google Scholar
5. Knoebel, R. A., Exponentials reiterated, Amer. Math. Monthly, 88 (1981), 235252.Google Scholar
6. Macintyre, A. J., Convergence of ii…, Proc. Amer. Math. Soc., 17 (1966), 67.Google Scholar