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

一类解析函数类的凸性 被引量：1

On the convexity of certain subclass of analytic functions
下载PDF
导出
摘要 定义一类新的解析函数类BS(n,p,μ,α)(μ≥0,0≤α<p),并利用解析函数理论,研究3类积分算子函数Hn(z),H(z),G(z)的凸性和α阶凸性,得到一些新的结论. In this paper, we defined a subclass of analytic tunctions BS（n,p,μ,α）（μ≥0,0≤α〈P） and studied the convexity and a-order convexity for some general integral operators Hn （z）, H（z）, G（z） by using theories of analytic functions. Several results were also considered.
作者 李小飞 熊良鹏
机构地区 长江大学工程技术学院 成都理工大学工程技术学院
出处 《湖北大学学报（自然科学版）》 CAS 2014年第2期166-169,共4页 Journal of Hubei University：Natural Science
基金 湖北省教育科学"十二五"规划课题(2012B310) 长江大学工程技术学院考研项目(YJ201114) 科研发展基金资助
关键词 解析函数 星象函数 凸性 积分算子 analytic functuions starlike functions convexity integral operator
分类号 O174.51 [理学—基础数学]
  • 相关文献

参考文献7

二级参考文献15

  • 1杨定恭.关于亚纯p叶函数的新子类[J].Journal of Mathematical Research and Exposition,1995,15(1):7-13. 被引量：1
  • 2陈建兰,韦叶,刘金林.由算子定义的解析函数的卷积性质[J].扬州大学学报（自然科学版）,2006,9(4):4-6. 被引量：10
  • 3[1]Miller S S，Mocanu PT. Second order differential inequalities in the complex plane[J]. J Math Anal Appl, 1978, 65: 289-305.
  • 4Noor K I. On new classes of integral operators[J]. J Natur Geom, 1999,16(3):71--80.
  • 5LIU Jin-lin, Noor K I. On subordinations for certain analytic functions associated with Noor integral operator[J].Appl Math & comput, 2007, 187(2): 1453--1460.
  • 6Cho N E. The Noor integral operator and strongly close-to-convex functions [J]. J Math Anal Appl, 2003, 283(1):202--212.
  • 7Mac Gregor T H. Functions whose derivative has a positive real part [J]. Trans Amer Math Soc, 1962, 104: 532--537.
  • 8SRIVASTAVA H M,PATEL J.Some subclasses of multivalent functions involving a certain linear operator[J].J Math Anal Appl,2005,310:209-228.
  • 9LIU Jin-lin,SRIVASTAVA H M.Classes of meromorphically multivalent functions associated with the generalized hypergeometeic function[J].Math Comput Modelling,2004,39:21-34.
  • 10LIU Jin-lin,SRIVASTAVA H M.Subclasses of meromorphically multivalent functions associated with a certain linear operator[J].Math Comput Modelling,2004,39:35-44.

共引文献3

同被引文献17

  • 1Darwish H E, Magesh N. On certain subclasses of multivalent analytic functions involving the catas operator [J].Acta Universitatis Apulensis, 2013,36: 209-224.
  • 2Owa S. Some properties of certain muhivalent functions [ J ]. Appl Math Lett, 1991,4 (5) : 79-83.
  • 3Patil D A, Thakare N K. On convex hulls and extreme points of p-valent starlike and convex classes with applications [J]. Bull Math Soc Sci Math, 1983,27(2) : 145-160.
  • 4Bharati R, Parvatham R, Swaminathan A. On subclasses of uniformly convex functions and corresponding class of starlike functions[J]. Tamkang J Math, 1997,28(1 ) : 17-32.
  • 5Goodman A W. On uniformly convex functions [J ]. Ann Polon Math, 1991,56( 1 ) : 87-92.
  • 6Kanas S,Wisniowska A. Conic regions and k-uniform convexity[J].J Comput Appl Math, 1999, 105( 1 ) : 327-336.
  • 7Nishiwaki J, Owa S. Certain classes of analytic functions concerned with uniformly starlike and convex functions [J]. Appl Math Comput, 2007,187 : 350-355.
  • 8Catas A.On certain classes of p-valent functions defined by multiplier transform presented paper [C]. Proceedings of the International Symposium on Geometric Function Theory and Applications, Istanbul, Turkey, 2007.
  • 9Acu M, Owa S. Note on a class of starlike functions [C].Proceedings of the International Short Joint Work on Study on Calculus Operators in Univalent Functions Theory, Kyoto, Japan, 2006.
  • 10A1-Oboudi F M. On univalent functions defined by a generalized Salagean operator [ J ]. Int J Math Math Sci, 2004,25 : 1429- 1436.

引证文献1

湖北大学学报（自然科学版）
2014年 第2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