期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

模函数的Hlder连续性与次可乘性

Hlder continuity and submultiplicative properties of the modular function
下载PDF
导出
摘要 研究了模函数φK(a,r)的Hlder连续性及次可乘性,建立了φK(a,r)的几个精确不等式. In this paper, the HSlder continuity and submultiplicative properties of the modular function φk（a,r） are obtained, and several sharp inequalities for φk（a, r） are established.
作者 马晓艳 裘松良 钟根红 褚玉明
机构地区 浙江理工大学数学系 浙江理工大学科技与艺术学院 湖州师范学院数学系
出处 《高校应用数学学报（A辑）》 CSCD 北大核心 2012年第4期481-487,共7页 Applied Mathematics A Journal of Chinese Universities(Ser.A)
基金 国家自然科学基金(11071069 11171307) 浙江省教育厅高校创新团队基金(T200924)
关键词 高斯超几何函数 广义模方程 模函数 Gaussian hypergeometric function generalized modular equation modular function
分类号 O174.6 [理学—基础数学] O174.55 [理学—基础数学]
  • 相关文献

参考文献20

  • 1Abramowitz M, Stegun I A. Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables[M]. Washington: U.S. Government Printing Office, 1965.
  • 2Rainville E D. Special Functions[M]. New York: Macmillan, 1960.
  • 3Anderson G D, Qiu Songliang, Vamanamurthy M K, et al. Generalized elliptic integrals and modular equations[J]. Pacific J Math, 2000, 192: 1-37.
  • 4Qiu Songliang, Vuorinen M. Special functions in geometric function theory, In: Handbook of Complex Analysis: Geometric Function Theory, Vol. 2, 621-659[M]. Amsterdam: Elsevier Sci B V, 2005.
  • 5Alzer H, Qiu Songliang. Monotonicity theorems and inequalities for the complete elliptic integrals[J]. J Comput Appl Math, 2004, 172: 289-312.
  • 6Andras S, Baricz A. Bounds for complete elliptic integrals of the first kind[J]. Expo Math, 2010, 28: 357-364.
  • 7Guo Baini, Qi Feng. Some bounds for the complete elliptic integrals of the first and second kinds[J]. Math Inequal Appl, 2011, 14:323-334.
  • 8Anderson G D, Vamanamurthy M K, Vuorinen M. Conformal Invariants, Inequalities, and Quasiconformal Maps[M]. New York: John Wiley &Sons, 1997.
  • 9Berndt B C, Bhargava S, Garvan F G. Ramanujan's theories of elliptic functions to alterna- tive bases[J]. Trans Amer Math Soc, 1995, 347: 4163-4244.
  • 10Lehto O, Virtanen K I. Quasiconformal Mappings in the Plane[M]. New York: Springer- Verlag, 1973.

二级参考文献17

  • 1Lehto O, Virtanen K I. Quasiconformal Mappings in the Plane. New York: Springer-Verlag, 1973.
  • 2Bowman F. Introduction to Elliptic Functions with Applications. New York: Dover, 1961.
  • 3Byrd P F, Friedman M D. Handbook of Elliptic Integrals for Engineers and Scientists. 2nd ed. Die Grundlehren Math Wiss 67. New York: Springer-Verlag, 1971.
  • 4Anderson G D, Vamanamurthy M K, Vuorinen M. Distortion functions for plane quasiconformal mappings. Israel J Math, 1988, 62:1-16.
  • 5Anderson G D, Vamanamurthy M K, Vuorinen M. Inequalities for plane quasiconformal mappings. Contemp Math, 1994, 169:1-27.
  • 6Anderson G D, Vamanamurthy M K, Vuorinen M. Conformal Invariants, Inequalities, and Quasiconformal Maps. New York: John Wiley & Sons, 1997.
  • 7Hubner O. Remarks on a paper by Lawrynowicz on quasiconformal mappings. Bull Acad Polon Sci Ser Sci Math Astronom Phys, 1970, 18:183-186.
  • 8Kuhnau R. The conformal module of quadrilaterals and of rings. In: Handbook of Complex Analysis: Geometric Function Theory, vol. 2. Amsterdam: Elsevier, 2005, 99-129.
  • 9Partyka D, Sakan K. On an asymptotically sharp variant of Heinz's inequality. Ann Acad Sci Fenn Math, 2005, 30: 167-182.
  • 10Qiu S L, Vamanamurthy M K, Vuorinen M. Some inequalities for the Hersch-Pfluger distortion function. J Inequal Appl, 1999, 4:115-139.

共引文献1

高校应用数学学报（A辑）
2012年 第4期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部