TY - JOUR AU - xiong, sun PY - 2020/06/25 Y2 - 2024/03/28 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 SP - 137-144 AB - <p>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.</p> ER -