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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

Infinitely differentiable generalized logarithmic and exponential functions


Author: Peter Walker
Journal: Math. Comp. 57 (1991), 723-733
MSC: Primary 33E99; Secondary 65Q05
DOI: https://doi.org/10.1090/S0025-5718-1991-1094963-4
MathSciNet review: 1094963
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Abstract: We construct infinitely differentiable solutions of the functional equation $ f(x + 1) = {e^{f(x)}}$. Numerical values are found and their accuracy is discussed.


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DOI: https://doi.org/10.1090/S0025-5718-1991-1094963-4
Article copyright: © Copyright 1991 American Mathematical Society