A CLASS OF BAZILEVIC TYPE FUNCTIONS DEFINED BY CONVOLUTION OPERATOR

被引：0
|
作者：
Raza, Mohsan [1 ]
Noor, Khalida Inayat [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
JOURNAL OF MATHEMATICAL INEQUALITIES | 2011年 / 5卷 / 02期
关键词：
Bazilevic functions; bounded radius rotations; convolution; BOUNDED BOUNDARY ROTATION;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to define and study a class of analytic functions related to Bazilevic type functions in the open unit disc. This class is defined by using a convolution operator and the concept of bounded radius rotation of order rho. A necessary condition, inclusion result, arc length and some other interesting properties of this class of functions are investigated.
引用
收藏
页码：253 / 261
页数：9
相关论文
共 50 条
  • [1] A Class of Meromorphic Bazilevic-Type Functions Defined by a Differential Operator
    Noor, K. I.
    Ahmad, Q. Z.
    Orhan, H.
    Khan, N.
    Arif, M.
    UKRAINIAN MATHEMATICAL JOURNAL, 2020, 71 (10) : 1590 - 1607
  • [2] COEFFICIENT ESTIMATE FOR CLASS OF MEROMORPHIC BI-BAZILEVIC TYPE FUNCTIONS ASSOCIATED WITH LINEAR OPERATOR DEFINED BY CONVOLUTION
    Naik, A.
    Panigrahi, T.
    Murugusundaramoorthy, G.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2021, 14 (02): : 287 - 305
  • [3] Fekete-Szego results for a class of non-Bazilevic functions defined by convolution
    Mostafa, A. O.
    El-Hawsh, G. M.
    TBILISI MATHEMATICAL JOURNAL, 2019, 12 (01) : 149 - 158
  • [4] Coefficient bounds for bi-univalent classes defined by Bazilevic functions and convolution
    Aouf, M. K.
    Madian, S. M.
    BOLETIN DE LA SOCIEDAD MATEMATICA MEXICANA, 2020, 26 (03): : 1045 - 1062
  • [5] A Class of Meromorphic Bazilevič-Type Functions Defined by a Differential Operator
    K. I. Noor
    Q. Z. Ahmad
    H. Orhan
    N. Khan
    M. Arif
    Ukrainian Mathematical Journal, 2020, 71 : 1590 - 1607
  • [6] On a class of analytic functions related with generalized Bazilevic type functions
    Arif, Muhammad
    Noor, Khalida Inayat
    Raza, Mohsan
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (09) : 2456 - 2462
  • [7] Certain properties of Bazilevic type univalent class defined through subordination
    Panigrahi, T.
    Jena, S.
    El-Ashwah, R. M.
    AFRIKA MATEMATIKA, 2024, 35 (04)
  • [8] On a Class of Analytic Functions Defined by an Integral Operator
    Sahool, Pravati
    Singh, Saumya
    JOURNAL OF MATHEMATICS, 2013, 2013
  • [9] On a Class of Analytic Functions Defined by a Fractional Operator
    Eszter Szatmari
    Mediterranean Journal of Mathematics, 2018, 15
  • [10] On a Class of Analytic Functions Defined by a Fractional Operator
    Szatmari, Eszter
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (04)
12345