共查询到20条相似文献,搜索用时 15 毫秒
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We deal with the problem of entire functions sharing one value weakly. Moreover, we improve and generalize some former results obtained by J.-F.Chen, et al. [6], Y.Xu and H.L.Qiu [4], M.L. Fang [5], C.C. Yang, and X.H. Hua [3]. 相似文献
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Wei Chen Pei‐Chu Hu Hong‐Gen Tian 《Mathematical Methods in the Applied Sciences》2016,39(5):1176-1182
T. Qian In this paper, we prove two theorems on normal families of meromorphic functions, which improve a few of results from several authors. Copyright © 2015 John Wiley & Sons, Ltd. 相似文献
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《中国科学A辑(英文版)》2008,(7)
Let f be a transcendental meromorphic function,a a nonzero finite complex number,and n 2 a positive integer.Then f a(f')n assumes every complex value infinitely often.This answers a question of Ye for n = 2.A related normality criterion is also given. 相似文献
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《复变函数与椭圆型方程》2012,57(1):33-39
In this article we construct a class of entire functions of arbitrary finite order and with non-zero Taylor coefficients, which is not written in the form of Hadamard's canonical product. Some basic properties of this class are also given. 相似文献
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研究了亚纯函数结合其导数的值分布问题,得到了一个有趣的不等式,此不等式概括了方-杨和I.Lahiri和S.Dewan的结果,应用此不等式还得到关于θ(a(z);φ)的一个估计,这里φ(z)=α(z)f~nM[f],M[f]=(f′)~(n_1)(f″)~(n_2)…(f~((k)))~(n_k),n_1,n_2,…,n_k,n为非负整数满足:n_1+n_2+…+n_k≥1,α(z),a(z)(≠00,∞)为f的小函数. 相似文献
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运用正规族理论研究了整函数与其高阶导数分担无穷级函数增长级与超级的相关结果.从亚纯函数超级大于零而使球面导数无界的角度出发,然后综合运用Pang-Zaclman引理,数学归纳法和Nevanlinna理论等方法证明了该结果,推广和改进了已有的结果. 相似文献
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主要在涉及重值的情况下,得到一个具1IM公共值的亚纯函数的唯一性定理,推广并改进了Lahiri的一个结果。 相似文献
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关于f~((k))-af~n的零点 总被引:2,自引:0,他引:2
张占亮 《数学的实践与认识》2004,34(11):129-134
设 f (z) 为平面内超越亚纯函数 ,a≠ 0 为常数 ,证明了当 n≥ k+3 时 ,f( k) -afn有无穷多个零点 . 相似文献
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Zhanliang Zhang 《Frontiers of Mathematics in China》2006,1(4):612-619
The aim of this paper is to discuss the value distribution of the function f
(k) − af
n. Under the assumption that f(z) is a transcendental meromorphic function in the complex plane and a is a non-zero constant, it is proved that if n ⩽ k + 3, then f
(k) − af
n has infinitely many zeros. The main result is obtained by using the Nevanlinna theory and the Clunie lemma of complex functions.
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Translated from Acta Scientiarum Naturalium Universitatis NeiMongol, 2004, 35(1): 5–9 相似文献
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Uniqueness and value-sharing of entire functions 总被引:1,自引:0,他引:1
Xiao-Yu Zhang 《Journal of Mathematical Analysis and Applications》2008,343(2):938-950
In this paper, we study the uniqueness problems on entire functions sharing one value with the same multiplicities. We generalize and unify some previous results of Fang and Hua [M.L. Fang, X.H. Hua, Entire functions that share one value, J. Nanjing Univ. Math. Biquarterly 13 (1) (1996) 44-48], Yang and Hua [C.C. Yang, X.H. Hua, Uniqueness and value-sharing of meromorphic functions, Ann. Acad. Sci. Fenn. Math. 22 (2) (1997) 395-406] and Fang [M.L. Fang, Uniqueness and value-sharing of entire functions, Comput. Math. Appl. 44 (2002) 828-831]. 相似文献
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In this paper, we obtain some uniqueness theorems for entire functions and their derivatives sharing the same fixed points with the same multiplicities. 相似文献
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WANG YOU-MING 《东北数学》2009,25(3):277-281
In this paper we derive the fundamental inequality of the theorem of meromorphic functions. It extends some results of Yi Hong-xun et al. As one of its application, we then study the value distribution of f^(k)f^n-c(z). 相似文献
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The present paper deals with the study on a class of entire functions represented by Dirichlet series whose coefficients belong to a commutative Banach algebra with identity. We consider a class of such series which satisfy certain conditions and establish some results. 相似文献