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P叶近于凸函数类的一个扩展 被引量:1

On a Extension of the Class of Close-to-convex Functions to p-valent
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摘要 给出了P叶近于凸函数类的一个扩展.得到包含关系,结合算子理论导出类中函数的积分表达式,端点性质,推出偏差定理,证明积分平均不等式. We introduce a extension of the class of close-to-convex functions to p-valent, obtain inclusion relation. Combining operator theory, we reduction integral expression, extremal point property, distortion theorems. Integral average inequality is proved.
出处 《数学的实践与认识》 CSCD 北大核心 2007年第18期155-162,共8页 Mathematics in Practice and Theory
基金 内蒙古高校科学研究项目(NJ04115)
关键词 P叶函数 近于凸函数 算子 端点 从属 p-Valent function close-to-convex function operator extremal point subordinate
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参考文献13

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共引文献3

同被引文献7

  • 1李书海.关于P叶α型λ-Bazilevich函数的性质[J].黑龙江大学自然科学学报,2004,21(3):40-44. 被引量:2
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  • 3Owa S.On certain Bazilevic functions of order β[J].Internat J Math and Math Sci,1992,15(3):613-616.
  • 4Liu M S.On the univalency of certain analytic functions[J].Advance In Mathematics,1999,28(4):368-370.
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  • 6Shaffer D B.Distortion theorem for special classes of analytic functions[J].Proc,AMS,1973,39(2):281-287.
  • 7刘名生.关于某类解析函数[J].华南师范大学学报(自然科学版),2002,34(4):15-20. 被引量:9

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