English

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

Complex Variables 2013-10-01 v1

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.

Keywords

Cite

@article{arxiv.1309.7551,
  title  = {On certain class of entire functions and a conjecture by Alan Sokal},
  author = {Alexander Dyachenko},
  journal= {arXiv preprint arXiv:1309.7551},
  year   = {2013}
}