Iterating exponential functions with cyclic exponents
Published online by Cambridge University Press: 24 October 2008
Extract
This paper is concerned with expressions of the form
where fa(x) = ax. Thus we have
Such expressions have been described variously as continued exponentials, iterated exponentials, towers of exponents or hyperpowers. We shall frequently make use of their elementary properties, as for example
and
- Type
- Research Article
- Information
- Mathematical Proceedings of the Cambridge Philosophical Society , Volume 105 , Issue 2 , March 1989 , pp. 357 - 375
- Copyright
- Copyright © Cambridge Philosophical Society 1989
References
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