Value Distribution of the k th Derivatives of Meromorphic Functions

@inproceedings{Yang2014ValueDO,
title={Value Distribution of the k th Derivatives of Meromorphic Functions},
author={Puhai Yang and Xiaojun Liu},
year={2014}
}

In the paper, we take up a new method to prove a result of value distribution of meromorphic functions: let f be a meromorphic function in , and let ( ) ( ) = / e 0 z a z P z ≡ , where P is a polynomial. Suppose that all zeros of f have multiplicity at least 1 k + , except possibly finite many, and ( ) ( ) ( ) , , T r a o T r f = as r →∞ . Then ( ) k f R − has infinitely many zeros.