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Remarks on the Obrechkoff inequality

Complex Variables 2015-12-18 v1

Abstract

Oberchkoff's inequality says that a polynomial of degree d with non-negative coefficients has at most 2ad/pi zeros in the angle {|arg z|<a}. We improve and generalize this inequality, and study the case of equality.

Keywords

Cite

@article{arxiv.1409.4849,
  title  = {Remarks on the Obrechkoff inequality},
  author = {Alexandre Eremenko and Alexander Fryntov},
  journal= {arXiv preprint arXiv:1409.4849},
  year   = {2015}
}

Comments

7 pages

R2 v1 2026-06-22T05:58:30.177Z