Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives
Volume 98 / 2010
Annales Polonici Mathematici 98 (2010), 207-219
MSC: Primary 30D35, 30D30.
DOI: 10.4064/ap98-3-1
Abstract
We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.