On certain class of entire functions and a conjecture by Alan Sokal

Alexander Dyachenko

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arXiv · 1309.7551

On certain class of entire functions and a conjecture by Alan Sokal

Alexander Dyachenko

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Abstract

In this paper we determine a class of entire functions using conditions on their odd and even parts. Further it is shown that the zeros of members of this class are localized in a very special way. This result allows us to treat a particular case of a conjecture by A. Sokal.

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Alexander Dyachenko. 2013-09-29. On certain class of entire functions and a conjecture by Alan Sokal. https://arxiv.org/abs/1309.7551

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