On Janowski harmonic functions

被引：34
|
作者：
Dziok, Jacek [1 ]
机构：
[1] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof S Pigonia 1, PL-35310 Rzeszow, Poland
来源：
JOURNAL OF APPLIED ANALYSIS | 2015年 / 21卷 / 02期
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 50 条
  • [1] Harmonic mappings related to Janowski starlike functions
    Kahramaner, Yasemin
    Polatoglu, Yasar
    Aydogan, Melike
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 270 : 564 - 570
  • [2] On Janowski starlike and convex meromorphic harmonic functions
    Dziok, J.
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2022, 28 (02):
  • [3] On Janowski starlike and convex meromorphic harmonic functions
    J. Dziok
    Boletín de la Sociedad Matemática Mexicana, 2022, 28
  • [4] Quasiconformal Harmonic Mappings Related to Janowski Starlike Functions
    Kahramaner, Yasemin
    Polatoglu, Yasar
    SAINS MALAYSIANA, 2014, 43 (12): : 1961 - 1964
  • [5] On Some Classes of Harmonic Functions Associated with the Janowski Function
    Ma, Lina
    Li, Shuhai
    Tang, Huo
    MATHEMATICS, 2023, 11 (17)
  • [6] JANOWSKI STARLIKE LOG-HARMONIC UNIVALENT FUNCTIONS
    Polatoglu, Yasar
    Deniz, Erhan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2009, 38 (01): : 45 - 49
  • [7] On Janowski Type Harmonic Meromorphic Functions with respect to Symmetric Point
    Khan, Muhammad Ghaffar
    Ahmad, Bakhtiar
    Darus, Maslina
    Mashwani, Wali Khan
    Khan, Shahid
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [8] Subclass of m-quasiconformal harmonic functions in association with Janowski starlike functions
    Sakar, F. M.
    Aydogan, M.
    APPLIED MATHEMATICS AND COMPUTATION, 2018, 319 : 461 - 468
  • [9] Quasiconformal Harmonic Mappings Related to Janowski Alpha-Spirallike Functions
    Aydogan, Melike
    Polatoglu, Yasar
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATHEMATICAL SCIENCES, 2014, 1602 : 779 - 784
  • [10] New classes of harmonic meromorphic multivalent starlike functions in Janowski domain
    Shaba, Timilehin Gideon
    Ahmad, Bakhtiar
    Khan, Muhammad Ghaffar
    Salleh, Zabidin
    Mashwani, Wali Khan
    Khan, Shahid
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2022, 24 (03): : 216 - 224
12345