English

Densities in Fabry's theorem

Complex Variables 2012-02-07 v4 Classical Analysis and ODEs

Abstract

Fabry's theorem on the singularities of power series is improved: the maximum density in the assumptions of this theorem is replaced by an interior density of Beurling--Malliavin type.

Keywords

Cite

@article{arxiv.0709.2360,
  title  = {Densities in Fabry's theorem},
  author = {Alexandre Eremenko},
  journal= {arXiv preprint arXiv:0709.2360},
  year   = {2012}
}

Comments

17 pages, 1 picture

R2 v1 2026-06-21T09:17:45.205Z