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arXiv · 1307.6381

Julia's equation and differential transcendence

Matthias Aschenbrenner·Walter Bergweiler
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Abstract

We show that the iterative logarithm of each non-linear entire function is differentially transcendental over the ring of entire functions, and we give a sufficient criterion for such an iterative logarithm to be differentially transcendental over the ring of convergent power series.

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Matthias Aschenbrenner, Walter Bergweiler. 2013-07-24. Julia's equation and differential transcendence. https://arxiv.org/abs/1307.6381

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