On the Fourth Coefficient of Functions in the Caratheodory Class

被引:92
作者
Kwon, Oh Sang [1 ]
Lecko, Adam [2 ]
Sim, Young Jae [1 ]
机构
[1] Kyungsung Univ, Dept Math, Pusan 48434, South Korea
[2] Univ Warmia & Mazury, Fac Math & Comp Sci, Dept Complex Anal, Ul Sloneczna 54, PL-10710 Olsztyn, Poland
关键词
Caratheodory functions; Coefficient functionals; Fourth coefficient; Fekete-Szego problem; Hankel determinants; UNIVALENT-FUNCTIONS; HANKEL DETERMINANT; INVERSE;
D O I
10.1007/s40315-017-0229-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In the present paper, a formula for the fourth coefficient of Caratheodory functions was computed.
引用
收藏
页码:307 / 314
页数:8
相关论文
共 17 条
[11]  
Lee S. K., 2013, J INEQUAL APPL, V2013, P1
[12]   EARLY COEFFICIENTS OF THE INVERSE OF A REGULAR CONVEX FUNCTION [J].
LIBERA, RJ ;
ZLOTKIEWICZ, EJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1982, 85 (02) :225-230
[13]   COEFFICIENT BOUNDS FOR THE INVERSE OF A FUNCTION WITH DERIVATIVE IN P [J].
LIBERA, RJ ;
ZLOTKIEWICZ, EJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 87 (02) :251-257
[14]  
Mishra A.K., 2008, Int. J. Math. Math. Sci., V2008
[15]  
Pommerenke C., 1975, UNIVALENT FUNCTIONS
[16]  
Shanmugam B.A., 2014, Gulf J. Math., V2, P107
[17]  
Sudharsan T.V., 2014, Malaya J. Mat., V2, P438, DOI DOI 10.26637/MJM204/011