Infinitely differentiable generalized logarithmic and exponential functions

Walker, Peter

doi:10.1090/S0025-5718-1991-1094963-4

Infinitely differentiable generalized logarithmic and exponential functions
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Math. Comp. 57 (1991), 723-733 Request permission

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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Sur les équations fonctionelles

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