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1.
We prove a uniqueness theorem for non-constant meromorphic functions f, g which share three values 0, 1, ∞ and f−a, g−b share the value 0 for a,b∉{0,1,∞}. Our theorem improves a result of G. Brosch. 相似文献
2.
Hong-Xun Yi 《Journal of Mathematical Analysis and Applications》2003,284(2):481-495
Using the idea of weighted sharing of values, we study the problem of uniqueness of meromorphic functions that share three values. The results in this paper improve all theorems given by Lahiri in Nagoya Math. J. 161 (2001) 193-206. Examples are provided to show that some results in this paper are sharp. 相似文献
3.
On a question of Gross 总被引:1,自引:0,他引:1
Abhijit Banerjee 《Journal of Mathematical Analysis and Applications》2007,327(2):1273-1283
Using the notion of weighted sharing of sets we prove two uniqueness theorems which improve the results proved by Fang and Qiu [H. Qiu, M. Fang, A unicity theorem for meromorphic functions, Bull. Malaysian Math. Sci. Soc. 25 (2002) 31-38], Lahiri and Banerjee [I. Lahiri, A. Banerjee, Uniqueness of meromorphic functions with deficient poles, Kyungpook Math. J. 44 (2004) 575-584] and Yi and Lin [H.X. Yi, W.C. Lin, Uniqueness theorems concerning a question of Gross, Proc. Japan Acad. Ser. A 80 (2004) 136-140] and thus provide an answer to the question of Gross [F. Gross, Factorization of meromorphic functions and some open problems, in: Proc. Conf. Univ. Kentucky, Lexington, KY, 1976, in: Lecture Notes in Math., vol. 599, Springer, Berlin, 1977, pp. 51-69], under a weaker hypothesis. 相似文献
4.
Indrajit Lahiri 《Journal of Mathematical Analysis and Applications》2002,271(1):206-216
In this paper we prove a uniqueness theorem for meromorphic functions sharing three values with some weight which improves some known results. 相似文献
5.
Indrajit Lahiri 《Journal of Mathematical Analysis and Applications》2003,283(1):66-76
We prove a uniqueness theorem for meromorphic functions sharing three values with some finite weight which improves a recent result of the author. 相似文献
6.
Uniqueness of meromorphic functions and a question of K. Tohge 总被引:1,自引:0,他引:1
Indrajit Lahiri Pulak Sahoo 《Journal of Mathematical Analysis and Applications》2006,324(2):1324-1335
We prove a uniqueness theorem for meromorphic functions sharing three values, which answers a question asked by K. Tohge. 相似文献
7.
We discuss the uniqueness of meromorphic functions sharing three weighted values and provide a complete answer to a question of T.C. Alzahary. 相似文献
8.
Thamir C. Alzahary Hong-Xun Yi 《Journal of Mathematical Analysis and Applications》2004,295(1):247-257
Using the idea of weighted sharing, we prove some results on uniqueness of meromorphic functions sharing three values which improve some results given by H.-X. Yi, I. Lahiri, X. Hua and other authors. 相似文献
9.
Xiao-Min Li 《Journal of Mathematical Analysis and Applications》2007,335(1):642-656
In this paper, we deal with the problem of uniqueness and weighted sharing of two meromorphic functions with their first derivatives having the same fixed points with the same multiplicities. The results in this paper improve those given by K. Tohge, Xiao-Min Li and Hong-Xun Yi. 相似文献
10.
By emplying the main ideas from G. Brosch, two results of R. Nevanlinna's Four Value Theorem type on the unicity of meromorphic functions in the open complex plane sharing three distinct values, and a fourth value or a pair of values weakly are proved, which extend and generalize previous results of R. Nevanlinna, G.G. Gundersen, H. Ueda and G. Brosch. 相似文献
11.
Xiao-Min Li 《Journal of Mathematical Analysis and Applications》2008,343(2):919-931
Using the idea of weighted sharing, we prove some results on uniqueness of meromorphic functions with three weighted sharing values. The results in this paper improve those given by H.X. Yi, T.C. Alzahary and H.X. Yi, T.C. Alzahary, I. Lahiri and N. Mandal, and other authors. 相似文献
12.
This paper studies the idea of weighted sharing and proves two main theorems which generalize some results given by G. Brosch, Q. Zhang and other authors. 相似文献
13.
Xiao-Min Li 《Journal of Mathematical Analysis and Applications》2008,339(1):609-621
In this paper, we deal with a uniqueness theorem of two meromorphic functions that have three weighted sharing values and one pair of values. The results in this paper improve those given by G.G. Gundersen, G. Brosch, T.C. Alzahary, T.C. Alzahary and H.X. Yi, I. Lahiri and P. Sahoo, and other authors. 相似文献
14.
该文处理了以权分担三个值的亚纯函数唯一性问题, 获得的结果改进了文献[1]的全部结果. 相似文献
15.
In this paper, we deal with a uniqueness theorem of two meromorphic functions that have three weighted sharing values and a sharing set with two elements. The results in this paper improve those given by G. Brosch, K. Tohge, T.C. Alzahary and H.X. Yi and other authors. 相似文献
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改进Heittokangas等最近获得的涉及亚纯函数与其平移函数唯一性的一个结果[J.Heit-tokangas,R.Korhonen,I.Laine,J.Rieppo and J.Zhang,Value sharing results for shifts of mero-morphic function and sufficient conditions for periodicity,J.Math.Anal.Appl.,355(2009):352-363]. 相似文献
19.
设f(z)是非常数亚纯函数,n是正整数,F(z)=,其中aj(z)(j=0,1,2,…,n)均是f(z)的小函数.本文证明了:若f(z)满足N(r,f)=s(r,f),且f(z)=b1(z)F(z)=b2(z),这里b1(z)、b2(z)为f(z)的小函数,b1(z)0,b2(z)0,δ(0,f)>,则或者f·Fb1·b2. 相似文献
20.
《复变函数与椭圆型方程》2012,57(12):923-934
In this article we study the problem of uniqueness of meromorphic functions with weighted sharing of three values. The results in this article improve some theorems of M. Ozawa, H. Ueda, G. Brosch, H. Yi, I. Lahiri and other authors. Examples are provided to show that the conditions of our results are sharp. 相似文献