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- Conditions for Meromorphic Function to Be Periodic 亞純函數為周期函數的條件
- Keywords: meromorphic function, holomorphic function, normal families, differential polynomials, sharing values. 關鍵詞：亞純函數，全純函數，正規族，微分多項式，分擔值。
- Entire function, Meromorphic function, Exceptional set, Deficiency, Differential polynomial. 整函數，亞純函數，例外集，虧量，進分多項式
- In chapter 1, we briefly introduce the value distribution theory of meromorphic function. 第一章, 扼要介紹亞純函數值分佈理論的主要概念、基本結果和常用記號。
- In chapter one，we state a few usual notations, definitions and basic results in value distribution theory of meromorphic function . 第一章,我們給出本文所要用到的一些亞純函數值分佈理論的方面的基礎知識,常用記號和一些基本結果。
- In this paper,the properties of characteristic function of meromorphic function in the angular domain were studied,and a basic inequality was induced. 文章主要討論了角域上亞純函數特徵函數的一些性質,得到一個重要不等式。
- In this paper, property of two linearly independent solutions of second-order differential equation f"(z)+A(z)f(z)=0 where A(z) is meromorphic function has been disscued. 本文討論了當A(z)為亞純函數時;二階微分方程f″(z)+A(z)f(z)=0的兩個線性獨立解的性質;得到一些結果.
- Secondly,a criterion for normality of a family with meromorphic function was obtained.We proved that a family with meromorphic function sharing three values IM is normal. 其次研究亞純函數的正規性,證明了具有三個IM分擔值的亞純函數族的正規性;
- In charpter2, we will discuss some normal principles of meromorphic functions. 在第二章，我們討論了亞純函數的幾個正規定則。
- Hayman W. K., Meromorphic Functions, 1964, Oxford Univ. Press, New York. 楊樂;值分佈論及其新研究;1982;科學出版社;北京.
- In this paper,we study meromorphic functions related to shared values or omiting a function,and obtain some results on unicity or normal criterion. 本文研究了涉及分擔值或例外函數的亞純函數;證明了有關的唯一性定理或正規定則.
- In this paper, we researches the sum of U( r)- relative deficiency of meromorphic functions, which generalize. 本文我們主要研究亞純函數導數的U()相對虧量和;得到一些推廣結果.
- Study the uniqueness problem on meromorphic functions concerning differential polynomial sharing a small function in a view of weighted sharing and improve a fomer result. 從加權分擔的角度研究一類亞純函數關於其微分多項式分擔值的唯一性問題,並推廣了已有的結果。
- BMOA and VMOA have been extended to the meromorphic functions as UBC and UBC_0 respectively. UBC類與UBC_0類函數分別是BMOA類與VMOA類函數的亞純推廣。
- We deal with the uniqueness problems on the meromorphic functions sharing the finite sets. 本文討論了分擔有限集合的亞純函數.;唯一性;所得定理分別改進了儀洪勛和周后卿研究的相關結果。
- In this paper, The uniqueness of meromorphic functions with a common range set and deficient values is studied. 研究了具有一個公共值和虧值的亞純函數的唯一性.
- Using the idea of weighted sharing,deal with the uniqueness problems on meromorphic functions that sharing three sets. 利用權分擔集合的思想討論了關於分擔三個集合的亞純函數的唯一性問題。
- He also gaveout a upper bound of characteristic functions of composite meromorphic functions. 並給出了複合亞純函數的特徵函數的一個上界.
- Normal families of meromorphic functions is an important subject in complex analysis. 正規性是單複變函數中重要的研究課題。
- The author investigated the problem of shared values for several meromorphic functions and obtained some results concerning uniqueness theorems. 討論了多個亞純函數的分擔值問題,得到了幾個唯一性定理。
