On Janowski harmonic functions

被引:35
作者
Dziok, Jacek [1 ]
机构
[1] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof S Pigonia 1, PL-35310 Rzeszow, Poland
关键词
Harmonic functions; Janowski functions; starlike functions; extreme points; subordination;
D O I
10.1515/jaa-2015-0010
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we define classes of harmonic functions related to the Janowski functions and we give some necessary and sufficient conditions for these classes. Some topological properties and extreme points of the classes are also considered. By using extreme points theory we obtain coefficients estimates, distortion theorems, integral mean inequalities for the classes of functions.
引用
收藏
页码:99 / 107
页数:9
相关论文
共 11 条
[1]  
AHUJA OP, 2005, ANN ACAD SCI FENN A, V6
[2]  
CLUNIE J, 1984, ANN ACAD SCI FENN-M, V9, P3
[3]  
Jahangiri J. M., 1998, ANN U M CURIESKLOD A, V52, P57
[4]   Harmonic functions starlike in the unit disk [J].
Jahangiri, JM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1999, 235 (02) :470-477
[5]  
Jahangiri JM., 1998, ANN U M CURIESKLOD A, V52, P57
[6]  
Krein M., 1940, STUD MATH, V9, P133
[7]  
Lewy H., 1936, B AM MATH SOC, V42, P689, DOI [10.1090/S0002-9904-1936-06397-4, DOI 10.1090/S0002-9904-1936-06397-4]
[8]   On inequalities in the theory of functions [J].
Littlewood, JE .
PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY, 1925, 23 :481-519
[9]  
Montel P., 1912, ANN COLE NORM SUP, V29, P487, DOI DOI 10.24033/ASENS.652
[10]  
SHEILSMALL T, 1990, J LOND MATH SOC, V42, P237