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Zong-Tao LI. THE fekete-szego Inequality for a Subclass of analytic Functions[J]. Journal of South China Normal University (Natural Science Edition), 2017, 49(3): 114-116.
Citation: Zong-Tao LI. THE fekete-szego Inequality for a Subclass of analytic Functions[J]. Journal of South China Normal University (Natural Science Edition), 2017, 49(3): 114-116.

THE fekete-szego Inequality for a Subclass of analytic Functions

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  • Received Date: November 21, 2015
  • Revised Date: March 06, 2016
  • By making differential subordination, a new function of is introduced, among them, . By using inequality of Schwarts function, if , ,then and for all the following bound is sharp . The extremal function of is given, some existing results are expanded by the conclusion of this article.
  • [1] FEKETE M, SZEG G. Eine Bermerkung uberungerade schlichte funktionen [J]. J London Math Soc, 1933, 8:85-89.
    [2]何维明. 某族解析函数的 不等式[J].长沙交通学院学报,1994, 10(3):13-17.
    [3]Liu Mingsheng.ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION [J]. 数学物理学报,2002, 22B(3):388-392.
    [4] 刘名生,崔志峰.一类解析函数子类的 不等式[J].华南师范大学学报(自然科学版),2010,1(1):1-4.
    [5] 郭栋,李宗涛,黄金超. 关于 函数的一个子类的 不等式[J].贵州师范大学学报(自然科学版),2015,33(3):45-48.
    [6]郭栋,李宗涛,杨家稳.一类解析函数类的 问题[J].华南师范大学学报:自然科学版,2012(4):32-34.
    [7] ]崔志峰,刘名生.用卷积定义的解析函数子类的 不等式[J].数学杂志,2011(31):954-961. [8] E R. Keogh and E P. Merkes. A coefficient inequality for certain class of analytic functions[J].Proceedings of theAmerican Mathematical Society, vol.20,pp.8-12,1969.
    [9]POMMERNKE C H. Univalent Function [M]. : Vandehoeck and Ruprecht,1975.

    [1] FEKETE M, SZEG G. Eine Bermerkung uberungerade schlichte funktionen [J]. J London Math Soc, 1933, 8:85-89.
    [2]何维明. 某族解析函数的 不等式[J].长沙交通学院学报,1994, 10(3):13-17.
    [3]Liu Mingsheng.ON CERTAIN CLASS OF ANALYTIC FUNCTIONS DEFINED BY DIFFERENTIAL SUBORDINATION [J]. 数学物理学报,2002, 22B(3):388-392.
    [4] 刘名生,崔志峰.一类解析函数子类的 不等式[J].华南师范大学学报(自然科学版),2010,1(1):1-4.
    [5] 郭栋,李宗涛,黄金超. 关于 函数的一个子类的 不等式[J].贵州师范大学学报(自然科学版),2015,33(3):45-48.
    [6]郭栋,李宗涛,杨家稳.一类解析函数类的 问题[J].华南师范大学学报:自然科学版,2012(4):32-34.
    [7] ]崔志峰,刘名生.用卷积定义的解析函数子类的 不等式[J].数学杂志,2011(31):954-961. [8] E R. Keogh and E P. Merkes. A coefficient inequality for certain class of analytic functions[J].Proceedings of theAmerican Mathematical Society, vol.20,pp.8-12,1969.
    [9]POMMERNKE C H. Univalent Function [M]. : Vandehoeck and Ruprecht,1975.

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