Complex zero strip decreasing operators
arXiv:1401.0237 · doi:10.1016/j.jmaa.2015.01.026
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.
17 pages, corrected several typos, added a citation. appears in Math. Anal. Appl. (2015)