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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 被引量：4

Inclusion Relations and Convolution Properties of a Certain Class of Analytic and Multivalent Functions Involving the Dziok-Srivastava Operator
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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. 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.
作者 徐能
机构地区 常熟理工学院数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2011年第1期216-228,共13页 Acta Mathematica Scientia
基金 国家自然科学基金(10871094) 江苏省自然科学基金(08KJB110001)资助
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 Analytic functions Multivalent functions Convex univalent functions Generalized hypergeometric function Hadamard product（or convolution） Subordination between analytic functions Dziok-Srivastava operator
分类号 O174.51 [理学—基础数学]
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参考文献23

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同被引文献20

  • 1刘名生.ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION[J].Acta Mathematica Scientia,2002,22(3):388-392. 被引量：6
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  • 4Srivastava H M, Yang D G, Xu N-E. Some subclasses of meromorphically multivalent functions associated with a linear operator[J]. Appl Math Comput, 2008, 159: 11-23.
  • 5Wang M. Inclusion properties of certain classes of meromorphic functions associated with the gen- eralized hypergeometric function[J]. Int Journal of Math Analysis, 2011, 15: 747-756.
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  • 9XIONG Liangpeng, FENG Xiangdong, ZHANG jianliang. Fekete-Szego inequality for generalized subclasses of univalent functions[ J]. Journal of Mathematical Inequalities, 2014,8(3):643-659.
  • 10FRASIN B A. Univalency of a nonlinear integral operator of analytic functions[J]. Journal of Mathematical Inequalities, 2015, 9(3) :763-771.

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数学物理学报（A辑）
2011年 第1期

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