共查询到20条相似文献,搜索用时 15 毫秒
1.
We prove some results on the uniqueness of entire functions sharing one or two finite values CM with their shifts or difference
operators. Our results include shifted and difference analogues of the Brück conjecture. 相似文献
2.
We study a uniqueness question of entire functions order with their difference operators, and deal with a question in this paper extend the corresponding results obtained by Liu Examples are provided to show that the results in this paper, in sharing an entire function of smaller posed by Liu and Yang. The results -Yang and by Liu-Laine respectively. a sense, are the best possible. 相似文献
3.
We show some interesting results concerning entire functions sharing two sets of small functions CM with their difference operators or shifts. 相似文献
4.
We investigate a uniqueness topic of entire functions with finite order sharing some values with their difference operators and obtain one result that if△f(≠0)and entire function f share a,b CM(counting multiplicities),then△f≡f.This result partially confirms a conjecture due to Chen and Yi(2013). 相似文献
5.
李效敏 《纯粹数学与应用数学》2002,18(2):109-115
研究了具有三个CM公共小函数对,一个IM公共小函数对的亚纯函数的惟一性,改进了李平与杨重骏,Brosch等人的有关结果,用例子说明本文的结果是最佳的. 相似文献
6.
进一步研究了具有三个cM公共值的亚纯函数的唯一性,改进了H.Ueda和仪洪勋等人的有关结果. 相似文献
7.
In this paper,we give some interesting results concerning the entire function f(z) sharing a small function a CM with its difference operators or shifts. 相似文献
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9.
WANG Jian-ping 《数学季刊》2005,20(1):42-46
This paper investigate the uniqueness problems for meromorphic functions that share three values CM and proves a uniqueness theorem on this topic which can be used to improve some previous related results. 相似文献
10.
丁杰 《数学的实践与认识》2014,(8)
考虑整函数与其差分算子分担集合的唯一性问题.假设S={ω:ω~n+aw~(n-1)+b=0},m,n为两个正整数满足n2且n和n一m互素,a和b为两个非零复数使得方程ω~n+aw~n+b=0无重根.设f为满足λ(f)ρ(f)∞的非常数整函数,若f(z)和△_cf(z)CM分担集合S,则f(z+c)≡2f(z).这个结果改进了李效敏的定理. 相似文献
11.
In this paper,we define the shared value of an algebroid function and its derivative on its Riemann surface.By considering the relationship between the shared values and the branch points of algebroid functions and their derivatives,we obtain some uniqueness theorems of algebroid functions sharing values with their derivatives,which extend 3 IM shared values theorem of nonconstant meromorphic functions and their derivatives obtained by Mues-Steinmetz and Gundersen. 相似文献
12.
P. Sahoo H. Karmakar 《Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences)》2017,52(2):102-110
In this paper, we use the concept of weighted sharing of values to investigate the uniqueness results when two difference polynomials of entire functions share a nonzero polynomial or a small function with a finite weight.We also investigate the situation when the original functions share 0 CM. The obtained results improve some recent related results of X. Li et al. [Ann. Polon. Math, 102 (2011), 111-127] and that of W. Li et al. [Bull. Malay. Math. Sci. Soc., 39 (2016), 499-515]. 相似文献
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14.
In this paper, we deal with a uniqueness question of entire functions sharing a nonzero complex number with their difference
operators. The results in this paper improve Theorem 1.1 in Liu and Yang (Arch. Math. 92 (2009), 270–278) and deal with Question 1 in Liu and Yang (2009), where the entire functions are of finite orders. 相似文献
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16.
本文研究了两个亚纯函数共享两个CM小函数和一个I M小函数,并存在第四个小函数和一定条件下的唯一性.利用构造辅助函数方法,得到一个亚纯函数是另一个亚纯函数的拟分式线性变换. 相似文献
17.
讨论了亚纯函数分担两个集合的唯一性问题,证明了一个定理.所得结果改进了先前的一些定理,例子表明结果是精确的. 相似文献
18.
In this paper, we study the growth of solutions of ak-th order linear differential equation and that of a k + 1-th order linear differential equation. From this we affirmatively answer a uniqueness question concerning a conjecture
given by Brück in 1996 under the restriction of the hyper order less than 1/2, and obtain some uniqueness theorems of a nonconstant
entire function and its derivative sharing a finite nonzero complex number CM. The results in this paper also improve some
known results. Some examples are provided to show that the results in this paper are best possible. 相似文献
19.
研究具有3个CM公共值的亚纯函数唯一性问题,并且其中一函数满足某类微分方程.文中定理推广改进了G.Brosch的结果. 相似文献
20.
Meromorphic Functions Sharing Two Values 总被引:2,自引:0,他引:2
By using the idea of weighted sharing of values, the problem of uniqueness of meromorphic functions that share two values is studied. The results in this paper improve some theorems given by M. Ozawa and Yi Hongxun et al. 相似文献