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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

The exponential of iteration of $ e\sp x-1$


Author: Peter L. Walker
Journal: Proc. Amer. Math. Soc. 110 (1990), 611-620
MSC: Primary 58F23; Secondary 30D05, 39B12, 58F08
MathSciNet review: 1023348
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Abstract: We study the mapping properties of a nonconstant entire solution of the equation

$\displaystyle f(z + 1) = {e^{f(z)}} - 1.$


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DOI: https://doi.org/10.1090/S0002-9939-1990-1023348-2
Article copyright: © Copyright 1990 American Mathematical Society