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某些解析函数的星形性

On Starlikeness of Certain Analytic Functions
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摘要 利用微分从属的方法导出单位圆盘内解析函数星形性的充分条件,所得结果改进了文[2]、[3]、[6]、[7]、[8]中的结论. In this paper,using the method of differential subordinations,certain sufficeint conditions are given for analytic functions being starlike in the open unit disk.our results generalize and improve some results of [2]、[3]、[6]、[7] and [8].
作者 杨定恭
出处 《常熟高专学报》 2004年第4期1-9,共9页 Journal of Changshu College
关键词 解析函数 微分从属 充分条件 星形 结论 圆盘 analytic functions starlikeness subordination
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参考文献8

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  • 3[3]LI Jian-lin,Owa S. Sufficient conditions for starlikeness[A]. Proc RIMS 1192[C] ,Kyoto University,Kyoto,2001.87 - 93.
  • 4[4]Miller S S,Mocanu P T. On some classes of first order differential subordinations[J ]. Michigan Math J, 1985,32:185 - 195.
  • 5[5]Miller S S,Mocanu P T. Second order differential inequalities in the complex plane[J ]. J Math Anal Appl, 1978,65:289- 305.
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  • 8[8]Padmanabhan K S. On sufficient conditions for starlikeness[J ]. Indian J Pure Appl Math, 2001,32:543 - 550.

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