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[1]. Estimates for Complete Elliptic Integralr) byTrigonometric Functions with Applications[J].浙江理工大学学报,2012,29(05):722-726.
　ZHOU Li ming,QIU Song liang,WANG Fei. Estimates for Complete Elliptic Integralr) byTrigonometric Functions with Applications[J].Journal of Zhejiang Sci-Tech University,2012,29(05):722-726.
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 Estimates for Complete Elliptic Integralr) byTrigonometric Functions with Applications()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第29卷
期数:
2012年05期
页码:
722-726
栏目:
(自科)纺织与服装工程
出版日期:
2012-10-28

文章信息/Info

Title:
 Estimates for Complete Elliptic Integralr) byTrigonometric Functions with Applications
文章编号:
16733851 (2012) 05072205
Author(s):
 ZHOU Liming;  QIU Songliang;  WANG Fei
Department of Mathematics, Zhejiang SciTech University, Hangzhou 310018, China
分类号:
O156.4
文献标志码:
A

参考文献/References:

［1］ Abramowitz M, Stegun I A. Handbook of Mathematical Functions with Formulas, Graphs and Mathematical Tables［M］. New York: Dover, 1965: 133.
［2］ Qiu S L, Vuorinen M. Handbook of Complex Analysis: Geometric Function Theory［M］. Amsterdam: Elsevier Sci B V, 2005: 621659.
［3］ Anderson G D, Vamanamurthy M K, Vuorinen M. Functional inequalities for hypergeonmetric functions and complete elliptic integrals ［J］. SIAM J Math Anal, 1992, 23(2): 512524.
［4］ Anderson G D, Vamanamurthy M K, Vuorinen M. Gonformal Invariants, Inequalities, and Wuasiconformal Maps［M］. New York: John Wiley & Sons, 1997: 48107.
［5］ Borwein J M. Borwein P B. Pi and the AGM［M］. New York: John Wiley & Sons, 1987: 110.
［6］ Anderson G D, Qiu S L, Vamanamurthy M K, et al. Generzlized elliptic integrals and modular equations［J］. Pacific J Math, 2000,192(1): 137.
［7］ Alzer H, Qiu S L. Monotonicity theorems and inequalities for the complete elliptic integrals［J］. J Comput Appl Math, 2004,172(2): 289312.
［8］ Baricz A. Turán type inequalities for generalized complete elliptic integrals［J］. Math Z, 2007,256(4): 895911.
［9］ András S, Baricz . Bounds for complete elliptic integral of the first kind［J］. Expo Math, 2010, 28(4): 357364.
［10］ Guo B N, Qi F. Some bounds for the complete elliptic integrals of the first and second kinds［J］. Math Inequal Appl, 2001, 14(2): 323334.
［11］ Hübner O. Remarks on a paper by Lawrynowicz on quasiconformal mappings［J］. Bull Acad Polon Sci Sér Sci Math Astronom Phys, 1970, 18: 183186.
［12］ Qiu S L, Vamanamurthy M K, Vuorinen M. Som inequalities for the HerschPfluger distortion function［J］. J Inequal Appl, 1999,4(2): 115139.
［13］ Anderson G D, Vamanamurthy M K, Vuorinen M. Distortion functions for plane quasiconformal mappings［J］. Israel J Math, 1998, 62(1): 116.
［14］ Zhang X H, Wang G D, Chu Y M, et al. Distortion theorems of plane quasiconformal mappings［J］. J Math Anal Appl, 2006, 324(1): 6065.
［15］ Wang G D, Zhang X H, Chu Y M. A Hlder mean inequality for the HerschPfluger distortion function［J］. Sci Sin Math, 2010, 40(8): 783786.

备注/Memo

备注/Memo:
 Received date： 2011-03-09
Funditem： This work is supported by the NSF of China (11171307)
First author： ZHOU Liming (1987-), Male, Jiaxing, Zhejiang, Postgraduate student, Introduction of the Complex analysis.
Corresponding author： QIU Songliang, email: sl_qiu@zstu.edu.cn
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