一类分担小函数的整函数的唯一性
The Uniqueness of a Class of Entire Functions Sharing Small Functions
DOI: 10.12677/PM.2018.82016, PDF,   
作者: 梁 娥*:云南师范大学数学学院研究生,云南 昆明
关键词: 整函数增长极IM分担值Entire Functions Order of Growth IM Shared Values
摘要: 本文推进了前人的结果得到如下定理成立:设f(z)与g(z)是两个非常数整函数,且 ,p1(z)与p2(z)是两个判别多项式,若f(z)g(z)p1(z)p2(z)为IM分担小函数,且f(z)-g(z) 有无穷多个重零点,则
Abstract: This paper improves the previous results, the following theorem is established: Let f(z) and g(z) be two non-constant entire functions, and satisfy , where p1(z) and p2(z) are two discriminant polynomials, if p1(z) and p2(z) are IM sharing functions of f(z) and g(z), and f(z)-g(z) has infinitely zero of multiplicity, then .
文章引用:梁娥. 一类分担小函数的整函数的唯一性[J]. 理论数学, 2018, 8(2): 126-131. https://doi.org/10.12677/PM.2018.82016

参考文献

[1] 何萍, 熊坚. 关于有穷级整函数的唯一性[J]. 云南师范大学学报(自然科学版), 2007, 27: 5-8.
[2] 高晓佳, 许宇霞. 级小于 的整函数的唯一性[D]: [硕士学位论文]. 昆明: 云南师范大学, 2013.
[3] Boas, R.P. (1954) Entire Functions. Nortbwestern University, Evanston.
[4] 蔡翠. 一类整函数的唯一性[D]: [硕士学位论文]. 昆明: 云南师范大学, 2005.
[5] Bergweile, W. and Lang Ley, J.K. (2007) Zeros of Differences of Meromorphic Functions. Mathematical Proceedings of the Cambridge Philosophical Society, 142, 133-147. [Google Scholar] [CrossRef
[6] Adams, W.W. and Straus, E.G. (1971) Non-Archimedian Analytic Functions Taking the Same Values at the Same Points. Journal of Mathematics, 15, 418-424.
[7] 李玉华. 具有4个有穷的IM公共小函数的整函数[J]. 数学学报, 1998, 41(2): 249-260.
[8] 李玉华. 分担4个或5个小函数的亚纯函数[J]. 数学研究与评论, 2000, 20(1): 94-96.