亚纯函数涉及分担值的唯一性

Uniqueness of Meromorphic Functions Related to Shared Value

应用Nevanlinna值分布理论,研究亚纯函数与它的微分多项式分担一个值的唯一性问题.通过两个函数CM分担1,并且引入两个函数的极点和零点的次数的思想,对文献进行改进,得到了新的结论.改进和推广了有关亚纯函数唯一性的一些结果.

Using Nevanlinna＇ s value distribution theory, this paper studied the uniqueness theorem of meromorphic functions concerning differential polynomials that shared only one value . Two functions shared 1 CM with the multiplicities of zero and pole of two functions. This paper improved the result of reference and got new result. Some results about the uniqueness of meromorphie functions were improved and generalized.