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正系数解析函数的一类新子族 被引量:2

A CLASS OF ANALYTIC FUNCTIONS WITH POSITIVE COEFFICIENTS
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摘要 引入了一类具有正系数的解析函数类Mn(α),利用复分析中的一些方法,讨论了这类函数的系数不等式、偏差定理、凸的线性关系等,得到了准确的结果. A new class of analytic functions with positive coefficients is introduced.The coefficient estimates,distortion theorems,convex linear relations for the class are investigated,and sharp results are obtained.
作者 洪敏 傅秀莲
出处 《华南师范大学学报(自然科学版)》 CAS 北大核心 2010年第2期14-17,共4页 Journal of South China Normal University(Natural Science Edition)
关键词 解析函数 正系数 系数不等式 analytic function positive coefficient coefficient estimate
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参考文献4

  • 1OWA S,NISHIWAKI J.Coefficient estimates for certain classes of analtic functions[J].Journal of Inequalities in Pure and Applied Mathematics,2002,3(5):Article 72.
  • 2EKREM K.On subclass of univalent unctions with negative coefficients[J].Applied Mathematics and Computation,2003,146:351-358.
  • 3LIU Mingsheng,ZHU Yucan,SRIVASTAVA H M.Properties and characteristics of certain subclasses of starlike functions of order β[J].Math Computer Modelling,2008(48):402-419.
  • 4GRAHAM I,KOHR G.Geometric function theory in one and higher dimensions[M].New York:Marcel Dekker Inc,2003.

同被引文献15

  • 1Owa S,Nishiwaki J.Coefficient estimates for certain classes of analtic functions[J].Journal of Inequalities in Pure and Applied Mathematics,2002,3(5):72.
  • 2Graham I,Kohr G.Geometric function theory in one and higher dimensions[M].New York:Marcel Dekker Inc,2003.
  • 3Ekrem Kadioglu.On subclass of univalent functions with negative coefficients[J].Applied Mathematics and ComPutation,2003,146:351-358.
  • 4Owa S, Nishiwaki J. Coefficient estimates for certain classes of analytic functions [ J ]. Journal of Inequalities in Pure and Applied Mathematics, 2002,3 (5) : 72-78.
  • 5Ekrem Kadioglu. On Subclass of Univalent Functions with Negative Coefficients [ J ]. Applied Mathematics and Compu- tation,2003,146:351-358.
  • 6Liu Ming-Sheng, Zhu Yu-Can, Srivastava H M. Properties and characteristics of certain subclasses of starlike functions of order[ J]. Math Computer Modelling,2008,48:402-419.
  • 7Graham I, Kohr G. Geometric higher dimensions [ M ]. New 2003. function theory in one and York:Marcel Dekker Inc,.
  • 8邓琴.负系数单叶函数的一个新子族[J].Journal of Mathematical Research and Exposition,2007,27(4):833-838. 被引量:5
  • 9赵翠新,敖恩.具有正系数和缺系数的算子解析函数类[J].高等数学研究,2008,11(1):58-59. 被引量:1
  • 10洪敏.关于具有正系数的某一类解析函数[J].宝鸡文理学院学报(自然科学版),2008,28(3):186-189. 被引量:6

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