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2类p叶解析函数的卷积性质

Convolution Properties of Two Subclasses of p-Valent Analytic Functions
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摘要 引进单位圆盘内p叶解析函数类Mp*(n,α)和Np*(n,α),运用数学归纳法和Cauchy-Schwarz不等式导出了它们的卷积性质. The subclasses Mp^* (n,a) and Np^*(n,a) of p-valent analytic functions in open unit disk are introduced. The authors derive several convolution properties of them by applying certain techniques based upon the principle of mathematical induction and the Cauchy-Schwarz inequality.
作者 孙勇 旷伟平
出处 《吉首大学学报(自然科学版)》 CAS 2009年第2期22-25,共4页 Journal of Jishou University(Natural Sciences Edition)
基金 湖南省教育厅科学研究项目(07C507)
关键词 解析函数 P叶函数 卷积 analytic functions p-valent functions convolution
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参考文献3

  • 1OWA S,NISHIWAKI J.Coefficient Estimates for Certain Classes of Analytic Functions[J].J.Inequal.Pure Appl.Math.,2002,3(5):1-27.
  • 2OWA S,SRIVASTAVA H M.Some Generalized Convolution Properties Associated with Certain Subclasses of Analytic Functions[J].J.Inequal.Pure Appl.Math.,2002,3(3):1-12.
  • 3POLATOGLU Y,BOLCAL M,EN A S,et al.An Investigation on a Subclass of p-Valently Starlike Functions in the Unit Disc[J].Turk.J.Math.,2007,31:221-228.

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