On Localization of Zeros of an Entire Function of Finite Order of Growth

Abstract

The aim of the article is to find conditions on coefficients of a Taylor expansion of an entire function of finite order of growth in $$ \mathbb C $$ that guarantee a specified number of zeros. If the Taylor coefficients of f are real we also give conditions to determine whether the number of real and imaginary zeros is finite or infinite, and whether they are real or imaginary.

Identifiers

DOI

10.1007/s11785-016-0606-8

Citations and references