The exponential of iteration of 𝑒^{𝑥}-1

The exponential of iteration of $e^ x-1$
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by Peter L. Walker PDF

Proc. Amer. Math. Soc. 110 (1990), 611-620 Request permission

We study the mapping properties of a nonconstant entire solution of the equation \[ f(z + 1) = {e^{f(z)}} - 1.\]

References

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Sur les equations fonctionelles

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