期刊文献+

一类强α次殆星形映照的增长和掩盖定理 被引量:1

Growth and covering theorems for a kind of strongly and almost starlike mappings of order α
下载PDF
导出
摘要 在复Banach空间单位球上讨论一类特殊的强α次殆星形映照,结合强α次殆星形映照及β型螺形映照的几何特征给出强α次殆β型螺形映照的概念,并从映照的几何特征出发,详细讨论了复Banach空间单位球上强α次殆β型螺形映照的增长和掩盖定理. order α combinin In this paper, the authors study a kind of special strongly and almost starlike mapping of They give the defination of strongly and almost spirallike mappings of typeβ and order α by g the geometrical characteristic of sti'ongly and almost starlike mappings spirallike mappings of type ft. And from the geometrical characteristic of mappings, growth and covering theorems for strongly and almost spirallike mappings of typeβ an unit ball in complex Banach spaces. of order α and they obtain the d order a on the
出处 《东北师大学报(自然科学版)》 CAS CSCD 北大核心 2014年第1期17-21,共5页 Journal of Northeast Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(11271359 U1204618) 河南省教育厅科学技术研究重点项目(14B110015 14B110016) 河南省科技厅科技发展计划项目(102400450003)
关键词 强α次殆星形映照 强α次殆β型螺形映照 增长和掩盖定理 strongly and almost starlike mappings of order α;strongly and almost spirallike mappings oftype β and order α;growth and covering theorems
  • 相关文献

参考文献9

  • 1BARNARD R W,FITZ GERALD C H,GONG S.The growth and theorem for starlike mappings in Rn[J].Pacific J of Math,1991,150:13-22.
  • 2HAMADA H,HOHR G.Subordination chains and the growth theorem of spirallike mappings[J].Mathematica(Cluj),2000,42:153-161.
  • 3HAMADA H,KOHR G.Growth and distortion results for convex mappings in infinite dimensional spaces[J].Complex Variables,2002,47:291-301.
  • 4HONDA T.The growth theorem for fold symmetric convex mappings[J].Bull London Math Soc,2002,34:717-724.
  • 5冯淑霞,刘太顺,任广斌.复Banach空间单位球上几类映射的增长掩盖定理[J].数学年刊(A辑),2007,28(2):215-230. 被引量:25
  • 6徐庆华,刘太顺.正规化双全纯映照的增长和掩盖定理[J].数学年刊(A辑),2009,30(2):213-220. 被引量:10
  • 7刘小松.多复变数中两类双全纯映照子族之间的关系式[J].河南大学学报(自然科学版),2010,40(6):556-559. 被引量:3
  • 8AHLFORS L V.Complex analysis[M].New York:McGraw-Hill,1953:45-49.
  • 9GRAHAM I,KOHR G.Geometric function theory in one and higher dimensions[M].New York:Marcel Dekker,2003:158-163.

二级参考文献25

  • 1LIU TAISHUN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China)REN GUANGBIN,(Department of Mathematics, University of Science and Technology of China, Hefei 230026, China).THE GROWTH THEOREM FOR STARLIKE MAPPINGS ON BOUNDED STARLIKE CIRCULAR DOMAINS[J].Chinese Annals of Mathematics,Series B,1998,19(4):401-408. 被引量:39
  • 2林运泳,洪毅.Banach空间中全纯映射的若干性质[J].数学学报(中文版),1995,38(2):234-241. 被引量:23
  • 3冯淑霞,刘太顺,任广斌.复Banach空间单位球上几类映射的增长掩盖定理[J].数学年刊(A辑),2007,28(2):215-230. 被引量:25
  • 4Kohr G., On some best bounds for coefficients of several subclasses of biholomorphic mappings in C^n [J], Complex Variables, 1998, 36:261-284.
  • 5Graham I., Hamada H. and Kohr G., Parametric representation of univalent mappings in several complex variables [J], Canadian J. Math., 2002, 54(2):324-351.
  • 6Hamada H. and Kohr G., The growth theorem and quasiconformal extension of strongly spiralike mappings of type α [J], Complex Variables, 2001, 44:281-297.
  • 7Duren P. L., Univalent Functions [M], New York: Springer-Verlag, 1983.
  • 8Lin Y. Y. and Hong Y., Some properties of holomorphic maps in Banach spaces [J], Acta Math. Sinica, 1995, 38:234-241.
  • 9Hamada H., Honda T. and Kohr G., Growth theorems and coefficient bounds for univalent holomorphic mappings which have parametric representation [J], J. Math. Anal. Appl., 2006, 317:302-319.
  • 10Liu X. S. and Liu T. S., The refining growth, covering theorems and the refining estimation of expansion coefficients for spirallike mappings of type α[J], Acta Math. Sinica, 2006, 49:567-576.

共引文献30

同被引文献9

引证文献1

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