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[1]马晓艳a,裘松良a,钟根红b,等. 广义Agard偏差函数的性质[J].浙江理工大学学报,2011,28(05):825-830.
　MA Xiao yan,QIU Song liang,ZHONG Gen hong,et al. Properties of the Generalized Agard Distortion Function[J].Journal of Zhejiang Sci-Tech University,2011,28(05):825-830.
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 广义Agard偏差函数的性质()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第28卷
期数:
2011年05期
页码:
825-830
栏目:
(自科)生物与生命科学
出版日期:
2011-10-30

文章信息/Info

Title:
 Properties of the Generalized Agard Distortion Function
文章编号:
16733851 (2011) 05082506
作者:
 马晓艳1a;  裘松良1a;  钟根红1b;  赵叶华2
 1. 浙江理工大学, a. 理学院， b. 科技与艺术学院， 杭州 310018； 2. 杭州电子科技大学数学研究所， 杭州 310018
Author(s):
 MA Xiaoyan1;  QIU Songliang1;  ZHONG Genhong2;  ZHAO Yehua3
 1. School of Sciences, Zhejiang SciTech University, Hangzhou 310018, China; 2. College of Science and Art, Zhejiang SciTech University, Hangzhou 310021, China; 3. Institute of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China
关键词:
 ; ηK(a; x);  λ(a; K);  单调性;  不等式;  凹凸性
分类号:
O174
文献标志码:
A
摘要:
 探讨一些由广义Agard偏差函数ηK(a,x)定义的函数的单调性及凹凸性，并由此获得了关于ηK(a,x)，λ(a,K)的一些不等式。

参考文献/References:

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［3］ Agard S. Distortion theorems for quasiconformal mappings［J］. Ann Acad Sci Fenn Ser: AI, 1968, 413: 112.
［4］ He C Q. Distortion estimates of quasiconformal mappings［J］. Sci Sinica Ser: A, 1984, 27: 225232.
［5］ Qiu S L, Vamanamurthy M K, Vuorinen M. Bounds for quasiconformal distortion functions［J］. J Math Anal Appl, 1997, 205: 4364.
［6］ Lehto O, Virtaned K I. Quasiconformal Mappings in the Plane［M］. New York: SpringerVerlag, 1973.
［7］ Lehto O, Virtaned K I, V〖AKa¨〗is〖AKa¨〗l〖AKa¨〗 J. Contributions to the distortin theorey of quasiconformal mappings［J］. Ann Acad Sci Fenn Ser: AI, 1959, 273: 114.
［8］ Beurling 〖JP2〗A, Ahlfors L. The boundary correspondence under quasiconformal mappings［J］. Acta Math, 1956, 96: 125142.〖JP〗
［9］ Lehto O. Univalent Functions and Teichm〖AKu¨〗ller Spaces［M］. New York: SpringerVerlag, 1987.
［10］Bowman F. Introduction to Elliptic Functions with Applications［M］. New York: Dower, 1961.
［11］ Byrd P F, Friedman M D. Handbook of Elliptic Integrals for Engineers and Physicists: Grundlehren Math［M］. New York: SpringerVerlag, 1954.
［12］ Whittaker E T, Waston G N. A Course of Modern Analysis［M］. Cambridge: Cambridge University Press, 1858.
［13］ 马晓艳, 裘松良. 广义椭圆积分的性质［J］. 浙江理工大学学报, 2007, 24(2): 200205.
［14］ Anderson G D, Vamanumurthy M K, Vuorinen M. Conformal Invariants, Inequalities, and Quasiconformal Maps［M］. Hoboken: John Wiley and Sons, 1997.

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备注/Memo

备注/Memo:
 收稿日期： 2010-10-08
基金项目： 国家自然科学基金资助项目(10771195)；浙江省教育厅科学研究基金资助项目(Y200908819)
作者简介： 马晓艳（1979－），女，吉林梅河口人，硕士，讲师，主要从事复分析的研究。
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