Non-real zeros of linear differential polynomials

TL;DR

This paper establishes lower bounds on the number of non-real zeros of second order linear differential polynomials with constant coefficients in certain entire functions.

Contribution

It provides new lower bounds for non-real zeros specifically in the context of second order linear differential polynomials with constant coefficients.

Findings

Lower bounds for non-real zeros are derived.

Results apply to entire functions with finitely many non-real zeros.

Abstract

Lower bounds are given for the number of non-real zeros of a second order linear differential polynomial with constant coefficients in a real entire function with finitely many non-real zeros.