|本期目录/Table of Contents|

[1]张燕,裘松良.广义Agard偏差函数的不等式[J].浙江理工大学学报,2014,31-32(自科5):555-558.
 ZHANG Yan,QIU Song liang.Inequalities of Generalized Agard Distortion Function[J].Journal of Zhejiang Sci-Tech University,2014,31-32(自科5):555-558.
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广义Agard偏差函数的不等式()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第31-32卷
期数:
2014年自科5期
页码:
555-558
栏目:
(自科)数学及应用
出版日期:
2014-09-10

文章信息/Info

Title:
Inequalities of Generalized Agard Distortion Function
文章编号:
1673-3851 (2014) 05-0555-04
作者:
张燕 裘松良
浙江理工大学理学院, 杭州 310018
Author(s):
ZHANG Yan QIU Songliang
School of Science, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
广义Agard偏差函数 单调性 不等式
分类号:
O174
文献标志码:
A
摘要:
通过对广义Agard偏差函数与一些初等函数组合形式的单调性和凹凸性的研究,获得了广义Agard偏差函数和广义线性偏差函数的最新上下界,从而推广了平面拟共形映射理论中Agard偏差函数与线性偏差函数的一些不等式。

参考文献/References:

[1] Anderson G D, Vamanamurthy M K, Vuorinen M. Conformal invariants, inequalities, and quasiconformal maps[M]. New York: John Wiley &Sons, 1997: 1-326.
[2] Bowman F. Introduction to elliptic function with applications[M]. New York: Dover Publications, 1953: 1-115.
[3] Lehto O, Virtanen K I. Quasiconformal Mappings in the Plane[M]. New York: SpringerVerlag, 1973: 1-246.
[4] Martin G J. The distortion theorem for quasiconformal Schottky s theorem and holomorphic motions[J]. Proc Amer Math Soc, 1997, 125(4): 1095-1103.
[5] Anderson G D, Qiu S L, Vamanamurthy M K, et al. Generalized elliptic integrals and modular equations[J]. Pacific J Math, 2000, 192(1): 1-37.
[6] Qiu S L. Agard s η distortion function and Schottkys theorem[J]. Sci. China, 1997, 40(A): 1-9.
[7] Qiu S L, Vuorinen M. Special function in geometric function theory[M]//Handbook of Complex Analysis: Geometric Function Theory. Amsterdam: Elsevier Sci B. V, 2005: 621-659.
[8] Anderson G D, Qiu S L, Vuorinen M. Modular equations and distortion functions[J]. Ramanujan J, 2009, 18(20): 147-169.
[9] Chu Y M, Wang M K, Jiang Y P, et al. Monotonicity, convexity, and inequalities involving the Agard distortion function. Abstr Appl Anal, 2011. [2013-12-19].http://www.hindowi.com/journals/aaa/2011/671765.

相似文献/References:

[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.
 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(自科5):825.
[2]王飞,周培桂,马晓艳.Γ-函数的几个性质及其应用[J].浙江理工大学学报,2014,31-32(自科5):576.
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备注/Memo

备注/Memo:
收稿日期: 2013-12-19
基金项目: 国家科技支撑项目(11171307)
作者简介: 张燕(1989-),女,浙江绍兴人,硕士研究生,主要从事拟共形理论、解析函数、特殊函数方面的研究
更新日期/Last Update: 2014-09-26