数学物理学报 ›› 2011, Vol. 31 ›› Issue (1): 216-228.

• 论文 • 上一篇    下一篇

关于一类含有Dziok-Srivastava算子的多叶解析函数的包含关系和卷积性质

徐能   

  1. 常熟理工学院 数学系 江苏 常熟 215500
  • 收稿日期:2008-12-29 修回日期:2009-12-11 出版日期:2011-02-25 发布日期:2011-02-25
  • 基金资助:

    国家自然科学基金(10871094)和江苏省自然科学基金(08KJB110001)资助

Inclusion Relations and Convolution Properties of a Certain Class of Analytic and Multivalent Functions Involving the Dziok-Srivastava Operator

 XU Nai   

  1. Department of Mathematics, Changshu Institute of Technology, Jiangsu Changshu 215500
  • Received:2008-12-29 Revised:2009-12-11 Online:2011-02-25 Published:2011-02-25
  • Supported by:

    国家自然科学基金(10871094)和江苏省自然科学基金(08KJB110001)资助

摘要:

该文引进和研究了一类含有Dziok-Srivastava算子的新的多叶解析函数. 得到了这一函数类中的一些有趣的性质, 如包含关系, 卷积性质等. 这些结果改进和拓展了早期的一些工作. 同时也得到了其他一些新的结果.

关键词: 解析函数, 多叶函数; 凸单叶函数, 广义超几何函数,  Hadamard 乘积(或卷积), 从属, Dziok-Srivastava 算子

Abstract:

In the present paper, the author introduces and investigates a new subclass of multivalent analytic functions involving the Dziok-Srivastava linear operator. Some interesting properties such as inclusion relationships, convolution conditions for this function class are obtained. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.

Key words: Analytic functions, Multivalent functions, Convex univalent functions, Generalized hypergeometric function, Hadamard product (or convolution), Subordination between analytic functions, Dziok-Srivastava operator

中图分类号: 

  • 30C45