马丽娜;李书海;

• 1:赤峰学院数学与统计学院

摘要(Abstract)：

利用从属关系定义了某些新的一致倒结构的星象,凸象,近于凸和拟凸函数类,并得到了相应函数类的系数估计.其结果改进并推广了一些已有结论.

关键词(KeyWords)： 解析函数;亚纯;从属;倒结构;系数估计

Abstract:

Keywords:

基金项目(Foundation): 内蒙古自治区高等学校科学研究项目(NJZY16251);内蒙古自治区高等学校科学研究项目(2015NJZY240);; 国家自然科学基金(11561001);; 内蒙古自治区自然科学基金(2014MS0101)

作者(Authors): 马丽娜;李书海;

参考文献(References)：

• [1]Duren P L.Univalent Functions[M].New York:Springer-Verlag,1983.
• [2]Yamakawa R.Certain subclasses of p-valently starlike functions with negative coefficients,in Current Topics in Analytic Function Theory(Srivastava H M and Owa S,Editors)[M].London:World Scientific Publishing Company,1992:393-402.
• [3]Kang J S,Owa S,Srivastava H M.Quasi-convolution properties of certain subclassses of analytic functions[J].Bull.Belg.Math.Soc.,1996,3:603-608.
• [4]Sun Yong,Kuang Weiping,Wang Zhigang.On meromorphic starlike functions of reciprocal orderα[J].Bulletin of the Malaysian Mathematical Sciences Society,2012,32(5):469-477.
• [5]Ma Lina,Li Shuhai.Some new subclasses of meromorphically multivalent functions defined by means of the Liu-Srivastava operator[J].Bulletin of Mathematical Analysis and Applications,2013,5(2):19-41.
• [6]Ma Lina,Li Shuhai.Some properties of certain subclasses of meromorphically multivalent functions associated with the genaralized hypergeometric function[J].Southeast Asian Bulletin of Mathematics,2014,38(3):423-431.
• [7]Li Shuhai,Tang Huo,Ao en.Majorization properties for certain new classes of analytic functions using the Sˇalˇagean operator[J].Journal of Inequalities and Applications,2013,63:632-643.
• [8]Geol R M,Mehrok B C.A subclass of starlike functions with respect to symmetric points[J].Tamkang Journal of Mathematics,1982,13(1):11-24.
• [9]Fekete M,Szeg¨o G.Eine Bermerkung uber ungeraade schlichte funktionen[J].Journal of the London Mathematical Society,1933,8(2):85-89.
• [10]Keogh F R,Merkes E P.A coefficient inequality for certain classes of analytic functions[J].Proceedings of the American Mathematical Society,1969,20(1):8-12.