Linear differential polynomials in zero-free meromorphic functions
Complex Variables
2018-02-05 v4
Abstract
The paper determines all meromorphic functions with finitely many zeros in the plane having the property that a linear differential polynomial in the function, of order at least 3 and with rational functions as coefficients, also has finitely many zeros.
Cite
@article{arxiv.1609.00128,
title = {Linear differential polynomials in zero-free meromorphic functions},
author = {J. K. Langley},
journal= {arXiv preprint arXiv:1609.00128},
year = {2018}
}
Comments
This is the final version, accepted to appear in Ann. Acad. Sci. Fenn