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- Keywords: meromorphic function, holomorphic function, normal families, differential polynomials, sharing values. 关键词：亚纯函数，全纯函数，正规族，微分多项式，分担值。
- Entire function, Meromorphic function, Exceptional set, Deficiency, Differential polynomial. 整函数，亚纯函数，例外集，亏量，进分多项式
- In chapter 1, we briefly introduce the value distribution theory of meromorphic function. 第一章, 扼要介绍亚纯函数值分布理论的主要概念、基本结果和常用记号。
- In chapter one，we state a few usual notations, definitions and basic results in value distribution theory of meromorphic function . 第一章,我们给出本文所要用到的一些亚纯函数值分布理论的方面的基础知识,常用记号和一些基本结果。
- In this paper,the properties of characteristic function of meromorphic function in the angular domain were studied,and a basic inequality was induced. 文章主要讨论了角域上亚纯函数特征函数的一些性质,得到一个重要不等式。
- In this paper, property of two linearly independent solutions of second-order differential equation f"(z)+A(z)f(z)=0 where A(z) is meromorphic function has been disscued. 本文讨论了当A(z)为亚纯函数时;二阶微分方程f″(z)+A(z)f(z)=0的两个线性独立解的性质;得到一些结果.
- Secondly,a criterion for normality of a family with meromorphic function was obtained.We proved that a family with meromorphic function sharing three values IM is normal. 其次研究亚纯函数的正规性,证明了具有三个IM分担值的亚纯函数族的正规性;
- In charpter2, we will discuss some normal principles of meromorphic functions. 在第二章，我们讨论了亚纯函数的几个正规定则。
- Hayman W. K., Meromorphic Functions, 1964, Oxford Univ. Press, New York. 杨乐;值分布论及其新研究;1982;科学出版社;北京.
- In this paper,we study meromorphic functions related to shared values or omiting a function,and obtain some results on unicity or normal criterion. 本文研究了涉及分担值或例外函数的亚纯函数;证明了有关的唯一性定理或正规定则.
- Study the uniqueness problem on meromorphic functions concerning differential polynomial sharing a small function in a view of weighted sharing and improve a fomer result. 从加权分担的角度研究一类亚纯函数关于其微分多项式分担值的唯一性问题,并推广了已有的结果。
- In this paper, we researches the sum of U( r)- relative deficiency of meromorphic functions, which generalize. 本文我们主要研究亚纯函数导数的U()相对亏量和;得到一些推广结果.
- BMOA and VMOA have been extended to the meromorphic functions as UBC and UBC_0 respectively. UBC类与UBC_0类函数分别是BMOA类与VMOA类函数的亚纯推广。
- We deal with the uniqueness problems on the meromorphic functions sharing the finite sets. 本文讨论了分担有限集合的亚纯函数.;唯一性;所得定理分别改进了仪洪勋和周后卿研究的相关结果。
- In this paper, The uniqueness of meromorphic functions with a common range set and deficient values is studied. 研究了具有一个公共值和亏值的亚纯函数的唯一性.
- Using the idea of weighted sharing,deal with the uniqueness problems on meromorphic functions that sharing three sets. 利用权分担集合的思想讨论了关于分担三个集合的亚纯函数的唯一性问题。
- He also gaveout a upper bound of characteristic functions of composite meromorphic functions. 并给出了复合亚纯函数的特征函数的一个上界.
- Normal families of meromorphic functions is an important subject in complex analysis. 正规性是单复变函数中重要的研究课题。
- The author investigated the problem of shared values for several meromorphic functions and obtained some results concerning uniqueness theorems. 讨论了多个亚纯函数的分担值问题,得到了几个唯一性定理。
- In this paper, we obtain an uniqueness theorem for meromorphic functions sharing three values, which improves some results of H.X.Yi and G. D. Qiu. 主要讨论两个亚纯函数分担三个公共值时的唯一性问题;所得结果改进了仪洪勋、邱淦俤等的相应定理.
