TY - JOUR
AU - sun xiong
PY - 2020/06/25
Y2 - 2020/05/28
TI - The zeros of f^{n}f^(k)-a and normal families of meromorphic functions
JF - Tamkang Journal of Mathematics
JA - Tamkang J. Math.
VL - 51
IS - 2
SE - Papers
DO - 10.5556/j.tkjm.51.2020.3041
UR - https://journals.math.tku.edu.tw/index.php/TKJM/article/view/3041
AB - In this paper, we first prove that if f be a non-constant meromorphic function, all of whose zeros have multiplicity at least $k$, then f^{n}f^{(k)}-a has at least m+1 distinct zeros, where $k(\geq2),m(\geq1),n(\geq m+1)$ are three integers, and $a\in \mathbb{C}\cup\setminus\{0\}$.Also, in relation to this result, a normality criteria is given, which extends the related result.
ER -