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
  • [31] Hankel Determinant and Toeplitz Determinant on the Class of Bazilevic Functions Related to the Bernoulli Lemniscate
    Asih, Ni Made
    Fitri, Sa'adatul
    Wibowo, Ratno Bagus Edy
    Marjono
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 16 (02): : 1290 - 1301
  • [32] Properties of certain transforms defined by convolution of analytic functions
    Liu, Ming-Sheng
    Owa, Shigeyoshi
    Song, Nian-Sheng
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (09) : 4702 - 4709
  • [33] Some properties for certain class of bi-univalent functions defined by q-Catas operator with bounded boundary rotation
    Madian, S. M.
    AIMS MATHEMATICS, 2022, 7 (01): : 903 - 914
  • [34] On the logarithmic coefficients of Bazilevic functions
    Deng, Qin
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5889 - 5894
  • [35] On the coefficients of Bazilevic functions and circularly symmetric functions
    Deng, Qin
    APPLIED MATHEMATICS LETTERS, 2011, 24 (06) : 991 - 995
  • [36] The Fifth Coefficient of Bazilevic Functions
    Kwon, Oh Sang
    Thomas, Derek Keith
    Sim, Young Jae
    SYMMETRY-BASEL, 2020, 12 (08):
  • [37] Some relations between certain classes consisting of α-convex type and Bazilevic type functions
    Irmak, H.
    Bulboaca, T.
    Tuneski, N.
    APPLIED MATHEMATICS LETTERS, 2011, 24 (12) : 2010 - 2014
  • [38] Convolution on a Generalized Class of Harmonic Univalent Functions
    Porwal, Saurabh
    Dixit, Kaushal Kishore
    KYUNGPOOK MATHEMATICAL JOURNAL, 2015, 55 (01): : 83 - 89
  • [39] An Application of Legendre Polynomials to Bi-Bazilevic Functions associated with q-Ruscheweyh Operator
    Al-Rawashdeh, Waleed
    EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2025, 18 (01):
  • [40] 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