INITIAL COEFFICIENTS FOR GENERALIZED SUBCLASSES OF BI-UNIVALENT FUNCTIONS DEFINED WITH SUBORDINATION

被引:0
作者
Singh, Gagandeep [1 ]
Singh, Gurcharanjit [2 ]
Singh, Gurmeet [3 ]
机构
[1] Khalsa Coll, Dept Math, Amritsar, Punjab, India
[2] GNDU Coll, Dept Math, Chungh Tarn Taran, Punjab, India
[3] GSSDGS Khalsa Coll, Dept Math, Patiala, Punjab, India
来源
ARCHIVUM MATHEMATICUM | 2022年 / 58卷 / 02期
关键词
coefficient estimates; analytic functions; univalent functions; bi-univalent functions; generalized Salagean operator; subordination;
D O I
10.5817/AM2022-2-105
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
This paper is concerned with certain generalized subclasses of bi-univalent functions defined with subordination in the open unit disc E = {z :vertical bar z vertical bar < 1}. The bounds for the initial coefficients for the functions in these classes are studied. The earlier known results follow as special cases.
引用
收藏
页码:105 / 113
页数:9
相关论文
共 17 条
[1]  
Abirami C., 2020, J ANAL-INDIA, P1, DOI [10.1007/s41478-020-00224-2, DOI 10.1007/S41478-020-00224-2]
[2]  
Al-Oboudi FM., 2004, Int. J. Math. Sci, V27, P1429, DOI DOI 10.1155/S0161171204108090
[3]  
Aouf M.K., 1987, Int. J. Math. Math. Sci., V10, P181790, DOI [DOI 10.1155/S0161171287000838, 10.1155/S0161171287000838]
[4]   New subclasses of bi-univalent functions [J].
Frasin, B. A. ;
Aouf, M. K. .
APPLIED MATHEMATICS LETTERS, 2011, 24 (09) :1569-1573
[5]  
Joshi S., 2016, J. Egypt. Math. Soc, V24, P522, DOI [10.1016/j.joems.2016.03.007, DOI 10.1016/J.JOEMS.2016.03.007]
[6]  
Juma A.-R. S., 2012, Int. J. Basic Appl. Sci., V12, P68
[8]   Coefficient Estimate Problem for a New Subclass of Biunivalent Functions [J].
Magesh, N. ;
Rosy, T. ;
Varma, S. .
JOURNAL OF COMPLEX ANALYSIS, 2013,
[9]   Chebyshev polynomial coefficient estimates for a class of analytic bi-univalent functions related to pseudo-starlike functions [J].
Magesh N. ;
Bulut S. .
Afrika Matematika, 2018, 29 (1-2) :203-209
[10]  
Mazi E.P., 2017, GEN MATH, V25, P85