共查询到20条相似文献,搜索用时 31 毫秒
1.
吴昭君 《数学物理学报(A辑)》2010,30(3):793-799
该文研究了复平面上的亚纯函数在角域内分担两个集合的唯一性,将仪洪勋和林伟川最近得到的复平面上的亚纯函数在全平面上分担两个集合的唯一性定理中的在全平面上分担两个集合的条件改成在角域内分担两个集合,得到了几个唯一性定理. 相似文献
2.
In this paper, we investigate the uniqueness of meromorphic functions in the unit disc and consider the relation between the Borel points and shared-values of meromorphic functions in an angular domain. 相似文献
3.
In this paper, applying the Nevanlinna theory of meromorphic function in one angular domain, we deal with a problem of uniqueness for meromorphic functions and their derivatives sharing three finite value ignoring multiplicities in an angular domain instead of the whole complex plane. Obtained results improve a recent result of Lin Weichuan and Seiki Mori. 相似文献
4.
利用角域Nevanlinna特征函数和亚纯函数的辐角分布理论研究了亚纯函数的角域唯一性问题,获得了一些涉及重值的角域唯一性的结果,该角域包含亚纯函数的一条Borel方向. 相似文献
5.
Meromorphic functions sharing values in an angular domain 总被引:1,自引:0,他引:1
Qingcai Zhang 《Journal of Mathematical Analysis and Applications》2009,349(1):100-112
In this paper we study the problems of meromorphic functions sharing values in an angular domain and obtain some uniqueness results which are the improvement of the well-known five-value theorem and four-value theorem given by Nevanlinna. 相似文献
6.
In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6]. 相似文献
7.
In this article, we study the uniqueness question of nonconstant meromorphic functions whose nonlinear differential polynomials share 1 or have the same fixed points in an angular domain. The results in this article improve Theorem 1 of Yang and Hua [26], and improve Theorem 1 of Fang and Qiu [6]. 相似文献
8.
The main purpose of this paper is to investigate the uniqueness of transcendental meromorphic functions that share four values in one angular domain which is an unbounded subset of the whole complex plane. From one of our main results, a question of J.H. Zheng [J.H. Zheng, On uniqueness of meromorphic functions with shared values in one angular domain, Complex Var. Elliptic Equ. 48 (9) (2003) 777-785] is completely answered. Furthermore, we give an example to explain the necessity of the condition
9.
《复变函数与椭圆型方程》2012,57(9):777-785
In this article we investigate the uniqueness of transcendental meromorphic function dealing with four shared values in one angular domain instead of the whole complex plane. 相似文献
10.
Jun-Fan Chen 《Central European Journal of Mathematics》2012,10(3):1103-1112
We investigate the value distribution of meromorphic functions in the angular domain. In particular, we show a close relationship
between radially distributed values and Borel directions of transcendental meromorphic functions of infinite order in some
angular domains. 相似文献
11.
12.
Žarko Pavićević 《复变函数与椭圆型方程》2018,63(1):1-22
In this paper, we establish some theorems giving necessary and sufficient conditions for an arbitrary function defined in the unit disc of the complex plane to have boundary values along classes of an equivalence relation over simple curves. Our results generalize the well-known theorems on asymptotic and angular boundary behaviours of meromorphic functions (Lindelölf-, Lehto–Virtanen- and Seidel–Walsh-type theorems). The obtained results are applied to the study of boundary behaviour of meromorphic functions along curves using P-sequences, as well as in the proof of the uniqueness theorem similar to ?aginjan’s one. The constructed examples of functions show that the results cannot be improved. 相似文献
13.
陶毅翔 《纯粹数学与应用数学》2014,(1):84-92
为进一步丰富亚纯函数唯一性理论,寻求更佳的唯一性条件,利用亚纯函数Nevanlinna理论更精确地估计亚纯函数的n重值点的计数函数,得到两个亚纯函数与其导数具有某些分担值时的唯一性定理,推广和改进了相关文献的相关结果. 相似文献
14.
There have been lots of papers on the uniqueness theory of entire functions concerning shared-sets in the whole complex plane. However, it seems that the uniqueness theory in an angular domain is not widely investigated. In this paper, we study the uniqueness of entire functions concerning shared-sets in an angular domain instead of the whole complex plane, and we supply examples to show that Theorem 1 is sharp. 相似文献
15.
16.
17.
研究了无穷级亚纯函数f与亚纯函数g在某个角域上具有分担集S = {a1,a2,a3}的增长级关系. 相似文献
18.
《数学研究通讯:英文版》2017,(4):347-358
In this paper,by using the idea of truncated counting functions of meromorphic functions,we deal with the problem of uniqueness of the meromorphic functions whose certain nonlinear differential polynomials share one finite nonzero value. 相似文献
19.
A fundamental inequality for meromorphic functions in an angular domain and its application 总被引:3,自引:0,他引:3
Zhang Xuelian 《数学学报(英文版)》1994,10(3):308-314
This paper is to study the characteristic functions of meromorphic functions for an angular domain. We show an inequality
which is similar to the inequality in the second fundamental theorem of Nevanlinna, and estimate its remainder. Finally, as
an application we obtain a sufficient and necessary condition of Borel directions.
Supported by the National Natural Science Foundation of China. 相似文献
20.
《复变函数与椭圆型方程》2012,57(15):1063-1078
In this article, we investigate the problem due to I. Lahiri [I. Lahiri (2001). Weighted value sharing and uniqueness of meromorphic functions. Complex Variables Theory Appl., 46, 241–253.]. Also we prove some uniqueness theorems of meromorphic functions which improve some earlier results. 相似文献