值分布理论

There are mainly four innovations made in this thesis: By introducing the notion"collectively compact operator sequence"into the study of composition operators, we give a sufficient and necessary condition on generalized Nevanlinna counting functions of the inducing maps for {C〓} to be collectively compact, extend some previous results and enrich the content of the study of composition operators.

本文主要在以下几个方面有所创新：第一，把逼近论中的算子序列总体紧性的概念引入到复合算子理论的研究中来，并通过值分布理论中的广义Nevanlinna计数函数给出了Hardy空间与加权Bergman空间之间的复合算子序列的总体紧性的刻画，从而推广了Shapiro的结果，丰富了复合算子理论的内容。

In the dissertation, we do a further study in value distribution theorem and normal families theorem of meromorphic function and get some results by using the Nevanlinna's value distribution and the Ahlfors value distribution.

中文摘要：本论文主要运用Nevanlinna值分布理论以及Ahlfors值分布理论在亚纯函数值分布理论和亚纯函数正规族理论两个领域内做了进一步研究，并且相应的得到了几个结果。

Using the value distribution theory, the author studied the uniqueness of meromorphic function concerning multiple value .

应用值分布理论，在涉及重值情况下进一步研究了亚纯函数唯一性理论中Gross 。F提出的一个问题，获得如下结果：设集合S ={ω∈C|P =aω7- 42ω2 +70bω- 30b2 =0 }，其中a ，b为不等于零的常数，ab5≠ 2。

Concerning value distribution theory, Q.C.Zhang got the following result:Let f be a non-constant meromorphic function in C, b is a finite non-zero complex number, if f and f" CM share 0 and IM share b, then: f ≡ f", or f =(2b)/(1-ce-2z) here c is any non-zero constant.

在值分布理论中，张庆彩得到了这样的结果：设f是复平面上的非常数亚纯函数，b是非零的有限复数，若f和f′CM分担o且IM分担b，则： f≡f′，或者 f=2b/1-ce-2z ，其中c是任意非零常数。

Using Nevanlinna value distribution theory, the research we studies the uniqueness of meromorphic functions concerning the multipliable value, and proves one theorem, which generalizes and improves previous results.

运用亚纯函数的值分布理论，研究了亚纯函数涉及重值的唯一性问题，证明了一个定理，所得定理改进了先前的一些结果。

This thesis mainly investigates the application of Nevanlinna theory in systems of higher-order complex differential equations.

本文主要研究Nevanlinna值分布理论在复高阶微分方程组中的应用问题。

He wrote on modular forms and modular units , the idea of a 'distribution' on a profinite group , and value distribution theory .

朗以模块化方式和模块变量表达了自己对有限群分布和值分布理论的见解。

It gives a decent example for the angular value distribution theory and value distribution theory on p-adic field, n-dimensional complex Euclidian space, and even on general manifold.

值分布论为复微分方程的研究提供了重要的方法，为多维复欧氏空间空间上，p-adic域上以及一般的复流形上的值分布理论提供了模板。

Several decades, the further and new development of the value distribution of meromorphic functions would always be based on Nevanlinna's theory.

几十年来，亚纯函数的值分布理论的新发展都是以Nevanlinna理论为基础的。

In this thesis, by using the theory and method of value distribution, we mainlyinvestigate the definitions and relationships among the except values and except valuessets of the meromorphic functions.

中文摘要：本文运用值分布理论和方法整理了亚纯函数各种例外值的概念，并且总结了例外值集之间的相互关系。

If you are unfortunate enough to the lovelorn, please tell me, I will help you out, really, please contact me!

如果你不幸失恋了，请告诉我，我会帮助你摆脱困境，真的，请联系我啦！

China's plan to cut energy intensity by 20 percent and pollutant discharges by 10 percent between 2006 and 2010 is a case in point.

中国计划在2006年到2010间降低20%的能源强度和减少10%的主要污染物排放，就是一个这样的例子。