助手标题  
全文文献 工具书 数字 学术定义 翻译助手 学术趋势 更多
查询帮助
意见反馈
   调和单叶 的翻译结果: 查询用时:0.243秒
图标索引 在分类学科中查询
所有学科
数学
更多类别查询

图标索引 历史查询
 

调和单叶
相关语句
  harmonic univalent
     The fourth chapter, We has introduced a class HS(β) of harmonic univalent functions with negative coefficients, anddiscussed the subclass HS~*(β) of this function race the sufficient and necessaryconditions, distortion theorems and so on.
     第四章,引入了负系数调和单叶函数族HS(β),并讨论了该函数族的子族HS~*(β)系数充要条件,偏差定理等。
短句来源
     Genralization of Schwarz lemma and application of in harmonic univalent function
     Schwarz引理的推广及其在调和单叶函数中的应用
短句来源
     Harmonic Univalent Functions with Negative Coefficients
     负系数调和单叶函数
短句来源
     Proved Krzyz Conjecture and Its Application of Harmonic Univalent Functions
     Krzyz猜想的证明及其在调和单叶函数中的应用
短句来源
     Close-to-Convex Harmonic Univalent Mapping
     近于凸调和单叶映射
短句来源
更多       
  “调和单叶”译为未确定词的双语例句
     Let f be a complex valued, harmonic orientation_preserving, univalent mapping in the open unit disk E, and F be the conformal associate of f , the Schwarz Lemma is obtained for the Composition function w(z)=F -1  f ;
     设f是单位圆盘E内复值保向调和单叶映射,F是f的共形伴,给出复合映射w(z)=F-1f的Schwarz引理;
短句来源
     In this paper,we mainly present the generalization of Schwarz lemma and the derivation of this generalization,that is theoren 1~4. Then we apply them in class S(1) and derive theorem 5~6 and also some applications in Harmonic univaient functions,that is theorem7~12.
     在此文中 ,我们主要给出 Schwarz引理的推广和推论即定理 1~ 4,车族 S(1 )的几个结果定理 5 ,6 ,以及在调和单叶函数中的应用 ,即定理 7~ 1 2
短句来源
     The Deviation of Harmonic Uniralet Function
     调和单叶函数的变形定理
短句来源
     Harmonic mapping associate with conformal mapping
     调和单叶函数和它的共形伴
短句来源
  相似匹配句对
     Univalent Harmonic Mappings
     单叶调和映射
短句来源
     The Inverse Functions of Univalent Harmonic Mappings
     单叶调和映照的反函数
短句来源
     HARMONIC DIVIDER
     调和
短句来源
     Existence of harmonic p-forms
     调和P~-形成的存在性
短句来源
     (6) O.
     (6)单叶棘豆O.
短句来源
查询“调和单叶”译词为用户自定义的双语例句

    我想查看译文中含有:的双语例句
例句
为了更好的帮助您理解掌握查询词或其译词在地道英语中的实际用法,我们为您准备了出自英文原文的大量英语例句,供您参考。
  harmonic univalent
A new class of harmonic univalent functions by the generalized Salagean operator
      


Harmonic mappings have long been studied because of the role these mappings play in the theory of minimal surfaces. Since 1984 the classical theory of analytic univalent functions has been generalized, at least in part, to harmonic univalent functions and a lot of results have been gotten. In this paper, a survey of some important results and some open problems are given. It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary...

Harmonic mappings have long been studied because of the role these mappings play in the theory of minimal surfaces. Since 1984 the classical theory of analytic univalent functions has been generalized, at least in part, to harmonic univalent functions and a lot of results have been gotten. In this paper, a survey of some important results and some open problems are given. It contains six parts: mapping theorems, numerical estimations of univalent harmonic functions, special mappings, variational method, boundary behavior and applications to minimal surfaces.

由于在极小曲面理论中的作用,对调和映射的研究已有较长时间。1984年以来,经典解析单叶映射的理论被推广至调和单叶映射,并获得许多结论。这些工作引起人们对它的浓厚兴趣。该文介绍这一课题某些重要成果的概貌,并指出一些尚未解决的问题。它共分六个部分:映射定理,单叶调和函数的数值估计;特殊映射;变分方法;境界性质和在极小曲面中的应用。

We shall obtain necessary and sufficient condition that inverse function of harmonic univalent mapping is harmonic univalent, and illustrate with an example show that its inverse mapping is not in general harmonic. In the meanwhile we shall give necessary and sufficent condition that inverse function of harmonic univalent mapping a simply-connected domain D containing the origin onto the strip n is harmonic.

给出复值、调和、单叶函数的反函数是调和单叶的充要条件;并且举例说明反函数一般不是调和的;同时给出含原点的单连通域调和、单叶映射成带域反函数调和的充要条件.

Let f be a complex valued, harmonic orientation_preserving, univalent mapping in the open unit disk E, and F be the conformal associate of f , the Schwarz Lemma is obtained for the Composition function w(z)=F -1  f ;so is the estimate of | w z|、|w z| 2+| w | 2 and |w x| 2+| w y | 2; In addition, the sharp bounds of f and f z is given for f∈S 0 H , or f∈S H.

设f是单位圆盘E内复值保向调和单叶映射,F是f的共形伴,给出复合映射w(z)=F-1f的Schwarz引理;并且获得|wz|2+|wz|2、|wx|2+|wy|2、|wz|的估计;同时给出S0H、SH族映射f、fz的偏差.

 
<< 更多相关文摘    
图标索引 相关查询

 


 
CNKI小工具
在英文学术搜索中查有关调和单叶的内容
在知识搜索中查有关调和单叶的内容
在数字搜索中查有关调和单叶的内容
在概念知识元中查有关调和单叶的内容
在学术趋势中查有关调和单叶的内容
 
 

CNKI主页设CNKI翻译助手为主页 | 收藏CNKI翻译助手 | 广告服务 | 英文学术搜索
版权图标  2008 CNKI-中国知网
京ICP证040431号 互联网出版许可证 新出网证(京)字008号
北京市公安局海淀分局 备案号:110 1081725
版权图标 2008中国知网(cnki) 中国学术期刊(光盘版)电子杂志社