TITLE:
Value Distribution of the kth Derivatives of Meromorphic Functions
AUTHORS:
Pai Yang, Xiaojun Liu
KEYWORDS:
Meromorphic Function; Spherical Derivative; Quasi-Normality
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.1,
January
8,
2014
ABSTRACT: 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 , where P is a polynomial. Suppose that all zeros
of f have multiplicity at least , except possibly finite many, and as . Then has infinitely many zeros.