On a new subclass of bi-univalent functions defined by using Salagean operator

被引:15
作者
Seker, Bilal [1 ]
机构
[1] Dicle Univ, Dept Math, Fac Sci, Diyarbakir, Turkey
关键词
Univalent functions; bi-univalent functions; coefficient bounds and coefficient estimates; Salagean operator; COEFFICIENT;
D O I
10.3906/mat-1507-100
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this manuscript, by using the Salagean operator, new subclasses of bi-univalent functions in the open unit disk are defined. Moreover, for functions belonging to these new subclasses, upper bounds for the second and third coefficients are found.
引用
收藏
页码:2891 / 2896
页数:6
相关论文
共 13 条
[1]   Coefficient estimates for a certain class of analytic and bi-univalent functions defined by fractional derivative [J].
Akin, Gulfem ;
Eker, Sevtap Sumer .
COMPTES RENDUS MATHEMATIQUE, 2014, 352 (12) :1005-1010
[2]   Coefficient estimates for bi-univalent Ma-Minda starlike and convex functions [J].
Ali, Rosihan M. ;
Lee, See Keong ;
Ravichandran, V. ;
Supramaniam, Shamani .
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) :344-351
[3]  
Brannan D.A., 1986, Studia Univ. BabesBolyai Math, V31, P70, DOI DOI 10.1016/B978-0-08-031636-9.50012-7
[4]  
Deniz E., 2013, J. Class. Anal., V2, P49
[5]  
Duren P.L., 1983, UNIVALENT FUNCTIONS, V259
[6]   New subclasses of bi-univalent functions [J].
Frasin, B. A. ;
Aouf, M. K. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (09) :1569-1573
[7]  
Jahangiri J. M., 2013, International Journal of Mathematics and Mathematical Sciences, V2013, DOI DOI 10.1155/2013/190560
[9]  
NETANYAHU E, 1969, ARCH RATION MECH AN, V32, P100
[10]  
SALAGEAN GS, 1983, LECT NOTES MATH, V1013, P362