FABER POLYNOMIAL COEFFICIENT ESTIMATES FOR A SUBCLASS OF ANALYTIC BI-UNIVALENT FUNCTIONS DEFINED BY SALAGEAN DIFFERENTIAL OPERATOR

被引:0
|
作者
Bulut, Serap [1 ]
机构
[1] Kocaeli Univ, Civil Aviat Coll, Arslanbey Campus, TR-41285 Izmit, Turkey
来源
MATEMATICKI VESNIK | 2015年 / 67卷 / 03期
关键词
Bi-univalent functions; Taylor-Maclaurin series expansion; Coefficient bounds and coefficient estimates; Faber polynomials; Salagean differential operator;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this work, considering a subclass of analytic bi-univalent functions defined by Salagean differential operator, we determine estimates for the general Taylor-Maclaurin coefficients of the functions in this class. For this purpose, we use the Faber polynomial expansions. In certain cases, our estimates improve some of existing coefficient bounds.
引用
收藏
页码:185 / 193
页数:9
相关论文
共 50 条
  • [31] Coefficient Estimates for a New Subclass of Analytic and Bi-Univalent Functions by Hadamard Product
    Adegani, Ebrahim Analouei
    Zireh, Ahmad
    Jafari, Mostafa
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2021, 39 (02): : 87 - 104
  • [32] A Subclass of Bi-Univalent Functions Based on the Faber Polynomial Expansions and the Fibonacci Numbers
    Altinkaya, Sahsene
    Yalcin, Sibel
    Cakmak, Serkan
    MATHEMATICS, 2019, 7 (02)
  • [33] COEFFICIENT ESTIMATES FOR A NEW SUBCLASS OF m-FOLD SYMMETRIC ANALYTIC BI-UNIVALENT FUNCTIONS
    Bulut, Serap
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1401 - 1410
  • [34] COEFFICIENT BOUNDS FOR A CERTAIN SUBCLASS OF ANALYTIC AND BI-UNIVALENT FUNCTIONS
    Mustafa, Nizami
    Nezir, Veysel
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (02): : 1492 - 1505
  • [35] Coefficient estimates for a general subclass of analytic and bi-univalent functions of the Ma–Minda type
    H. M. Srivastava
    S. Gaboury
    F. Ghanim
    Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 2018, 112 : 1157 - 1168
  • [36] Coefficient Estimates for a General Subclass of m-fold Symmetric Bi-univalent Functions by Using Faber Polynomials
    Salehian, Safa
    Motamednezhad, Ahmad
    Magesh, Nanjundan
    IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS, 2023, 18 (01): : 97 - 108
  • [37] Certain class of bi-univalent functions defined by quantum calculus operator associated with Faber polynomial
    El-Deeb, Sheza M.
    Murugusundaramoorthy, Gangadharan
    Vijaya, Kaliyappan
    Alburaikan, Alhanouf
    AIMS MATHEMATICS, 2021, 7 (02): : 2989 - 3005
  • [38] COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASS OF MEROMORPHIC AND BI-UNIVALENT FUNCTIONS
    Hajiparvaneh, Saideh
    Zireh, Ahmad
    COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, 2019, 68 (01): : 654 - 662
  • [39] Coefficient Estimation Utilizing the Faber Polynomial for a Subfamily of Bi-Univalent Functions
    Alsoboh, Abdullah
    Amourah, Ala
    Sakar, Fethiye Muge
    Ogilat, Osama
    Gharib, Gharib Mousa
    Zomot, Nasser
    AXIOMS, 2023, 12 (06)
  • [40] Initial Bounds for a Subclass of Analytic and Bi-Univalent Functions Defined by Chebyshev Polynomials and q-Differential Operator
    Dong GUO
    En AO
    Huo TANG
    Liangpeng XIONG
    Journal of Mathematical Research with Applications, 2019, 39 (05) : 506 - 516