English

Complex zero strip decreasing operators

Complex Variables 2015-01-30 v2

Abstract

In this paper we study the effect of linear differential operators coming from the Laguerre-Polya class that act on functions in the extended Laguerre-Polya class with zeros in a horizontal strip in the complex plane. These operator decrease the size of the strip containing the zeros.

Cite

@article{arxiv.1401.0237,
  title  = {Complex zero strip decreasing operators},
  author = {David A. Cardon},
  journal= {arXiv preprint arXiv:1401.0237},
  year   = {2015}
}

Comments

17 pages, corrected several typos, added a citation. appears in Math. Anal. Appl. (2015)

R2 v1 2026-06-22T02:37:46.804Z