Coefficient bounds for subclasses of m-fold symmetric bi-univalent functions

被引:33
作者
Sumer Eker, Sevtap [1 ]
机构
[1] Dicle Univ, Fac Sci, Dept Math, Diyarbakir, Turkey
关键词
Univalent functions; bi-univalent functions; m-fold symmetric bi-univalent functions;
D O I
10.3906/mat-1503-58
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this study, we introduce and investigate two new subclasses of the bi-univalent functions; both f (z) and f(-1)(z) are m-fold symmetric analytic functions. Among other results, upper bounds for the coefficients vertical bar a(m+1)vertical bar are found in this investigation.
引用
收藏
页码:641 / 646
页数:6
相关论文
共 16 条
  • [1] Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative
    Akin, Gulfem
    Eker, Sevtap Sumer
    [J]. COMPTES RENDUS MATHEMATIQUE, 2014, 352 (12) : 1005 - 1010
  • [2] Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions
    Ali, Rosihan M.
    Lee, See Keong
    Ravichandran, V.
    Supramaniam, Shamani
    [J]. APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 344 - 351
  • [3] [Anonymous], 1986, STUDIA U BABES BOLYA, V31, P70
  • [4] Brannan D.A., 1988, MATH ANAL ITS APPL, V3, P53
  • [5] Brannan DA, 1985, MATH ANAL ITS APPL, V3, P53
  • [6] Deniz E., 2013, J. Class. Anal., V2, P49
  • [7] Duren P.L., 1983, UNIVALENT FUNCTIONS, V259
  • [8] New subclasses of bi-univalent functions
    Frasin, B. A.
    Aouf, M. K.
    [J]. APPLIED MATHEMATICS LETTERS, 2011, 24 (09) : 1569 - 1573
  • [9] Jahangiri JM, 2013, INT J MATH MATH SCI, P1