期刊文献+

与k折对称点有关的解析函数族的一些新子族(英文)

CERTAIN NEW SUBCLASSES OF ANALYTIC FUNCTIONS WITH RESPECT TO k-SYMMETRIC POINTS
下载PDF
导出
摘要 本文引入了两类与k折对称点有关的解析函数族的新子族.利用从属理论,得到了这些函数族的积分表示、系数不等式、覆盖定理、弧长估计等结果.所得结果推广了一些相关文献的结论. In this article,we introduce two new subclasses Rm^s(b,k,λ) and Km^s(α,b,k,λ,δ)of analytic functions with respect to k-symmetric points.By using the principle of subordination,we obtain the integral representations,coefficient inequalities,covering theorems and arc-length estimates for these function classes,which would provide extensions of those given in earlier works.
作者 石磊 王智刚
出处 《数学杂志》 CSCD 北大核心 2016年第3期501-510,共10页 Journal of Mathematics
基金 Supported by the National Natural Science Foundation(11301008 11226088) the Key Project of Natural Science Foundation of Educational Committee of Henan Province(14B110012) the Foundation for Excellent Youth Teachers of Colleges and Universities of Henan Province(2013GGJS-146)
关键词 解析函数 k折对称点 从属 弧长 analytic functions k-symmetric points subordination arc-length
  • 相关文献

参考文献17

  • 1Arif M, Noor K I, Khan R. On subclass of analytic functions with respect to symmetrical points[J]. Abstr. Appl. Anal., 2012, Article ID 790689, doi:10,1155/2012/790689.
  • 2Das R N, Singh P. On a subclass of schlicht mapping[J]. Indian J. Pure Appl. Math., 1977, 8: 864 -872.
  • 3Eenigenburg P J, Miller S S, Mocanu P T, Reade O M. Second order differential inequalities in the complex plane[J]. J. Math. Anal. Appl., 1978, 65: 289-305.
  • 4G. M. Golusin. On distortion theorems and coefficients of univalent functions[J]. Matematicheskii Sbornik, 1946, 19:183-202.
  • 5I. Graham and G. Kohr. Geometric ruction theory in one and higher dimensions[M]. New Nork: Marcel Dekker, 2003.
  • 6Huang Y Y, Liu M S. Properties of certain subclasses of multivalent analytic functions involving the Dziok-Srivastava operator[J]. Appl. Math. Comput., 2008, 204:137 -149.
  • 7Noor K I. On subclasses of close-to-convex functions of higher order[J]. Intern. J. Math. Math. Sci., 1992, 15:279 -290.
  • 8Noor K I. On some subclasses of m-fold symmetric analytic functions[J]. Comput. Math. Appl., 2010, 60: 14-22.
  • 9Noor K I, Malikz B, Saima Mustafax. A survey on functions of bounded boundary and bounded radius rotation[J]. Appl. Math. E-Notes, 2012, 12:136 -152.
  • 10Noor K I, Mustafa S. Some classes of analytic functions related with functions of bounded radius rotation with respect to symmetrical points[J]. J. Math. Inequ., 2009, 3: 267-276.

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