共查询到20条相似文献,搜索用时 62 毫秒
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关于超越亚纯系数微分方程亚纯解的零点 总被引:6,自引:0,他引:6
本文研究了非齐次线性微分方程的复振荡问题,其中,D0,D1,…,D(k-1),是超越亚纯函数.当存在某个Ds(1≤s≤k-1)比其它Dj(j≠s)有较快增长的意义下起支配作用时,得到了微分方程(I)亚纯解的零点收敛指数的精确估计式. 相似文献
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关于亚纯函数的正规准则 总被引:1,自引:0,他引:1
在本文研究了亚纯函数族的正规族的问题,利用Zalcman引理的方法,获得了涉及亚纯函数族k阶导数的例外函数的几个正规准则.并改进了顾永兴[3]等人的结果. 相似文献
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This paper is devoted to considering the quasiperiodicity of complex differential polynomials,complex difference polynomials and complex delay-differential polynomials of certain types,and to studying the similarities and differences of quasiperiodicity compared to the corresponding properties of periodicity. 相似文献
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The uniqueness of meromorphic functions that share four values is investigated. A necessary condition to the case is acquired, and some partial results for question “ICM 3IM=4CM” are obtained. 相似文献
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在本文研究了亚纯函数族的正规族问题,利用Zalcman引理的方法,获得了亚纯函数族的几个正规定则.并改进了顾永兴和Bergweiler的结果. 相似文献
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Jacek DZIOK 《数学物理学报(B辑英文版)》2014,(2):466-472
In this article, we generalize the class of meromorphic functions with bounded boundary rotation and related classes. Characterizations and some properties of these classes of functions are given. 相似文献
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具三个公共值的亚纯函数的唯一性 总被引:1,自引:0,他引:1
郑赛莺 《纯粹数学与应用数学》1998,14(2):47-50
主要讨论了具有三个公共值的亚纯函数的唯一性问题,推广了仪洪勋、叶寿桢与邱淦Di等人的有关结果。 相似文献
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Let F be a family of functions meromorphic in a domain D, let n ≥ 2 be a positive integer, and let a ≠ 0, b be two finite complex numbers. If, for each f ∈ F, all of whose zeros have multiplicity at least k + 1, and f + a(f^(k))^n≠b in D, then F is normal in D. 相似文献
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MEROMORPHIC FUNCTIONS WITH GIVEN BOREL DIRECTIONS 总被引:1,自引:0,他引:1
Sun Daochun 《数学年刊B辑(英文版)》1983,4(2):231-240
In this paper, the auther defines"orders" and corresponding Borel directions for meromorphic functions. Refering to the method in[1], construct the meromorphic functions with given Borel directions. Therefore, the author extends Yang Le and Zhang Guang-hou's theorem, and affirmatively answer a question posed by them. 相似文献
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函数方程组的亚纯解(英文) 总被引:1,自引:0,他引:1
本文主要研究以下类型函数方程组亚纯解的存在性和增长性问题{f1n(cz)=a(z) (f1m1(z)/(f2m2(z)),f2 n(cz)=b(z)(f2(m1)z)/(f1m2(z)),其中a(z),b(z)为有理函数,|c|=0,1,n>1,mi>1(i=1,2).利用亚纯函数的Nevanlinna值分布理论与及复函数方程研究部分方法,获得了定理1,2,3三个关于函数方程组的结果,推广了函数方程中的一些结果. 相似文献
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In this article, we investigate the uniqueness problems of difference polynomials of meromorphic functions and obtain some results which can be viewed as discrete analogues of the results given by Shibazaki. Some examples are given to show the results in this article are best possible. 相似文献
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In this paper, by means of the definition of Borel exceptional value method, another exceptional value of meromorphic function which is a T exceptional value is defined by linking the concept of T direction. And we construct a meromorphic function with zero as Borel exceptional value, but not as T exceptional value; and another meromorphic function with zero as T exceptional value, but not as Borel exceptional value. 相似文献
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孙道椿 《数学物理学报(B辑英文版)》2010,30(1):166-172
By using the definition of Hausdorff distance, we prove some normality criteria for families of meromorphic algebroid functions. Some examples are given to complement the theory in this article. 相似文献
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