ON HIGHER ORDER BAZILEVIC FUNCTIONS

被引：4
|
作者：
Noor, Khalida Inayat [1 ]
Ahmad, Khalil [1 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Islamabad, Pakistan
来源：
INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2013年 / 27卷 / 04期
关键词：
Bounded boundary rotation; coefficients; Bazilevic functions; close-to-convex; bounded boundary rotation; HANKEL DETERMINANTS;
D O I：
10.1142/S0217979212502037
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
A new class B-k(alpha, rho, gamma) of analytic functions defined in the unit disc is introduced. This class contains generalized Bazilevic functions of type alpha. Arclength problem, coefficient and distortion results are studied and also discussed the rate of growth of Hankel determinant for these functions.
引用
收藏
页数：14
相关论文
共 50 条
  • [21] Length problems for Bazilevic functions
    Nunokawa, Mamoru
    Sokol, Janusz
    Tang, Huo
    [J]. DEMONSTRATIO MATHEMATICA, 2019, 52 (01) : 56 - 60
  • [22] On a Coefficient Conjecture for Bazilevic Functions
    Cho, Nak Eun
    Kumar, Virendra
    [J]. BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (04) : 3083 - 3097
  • [23] ON A SUBCLASS OF BAZILEVIC-FUNCTIONS
    SHANMUGAM, TN
    [J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 1986, 95 (02): : 121 - 125
  • [24] SOME NOTES ON BAZILEVIC FUNCTIONS
    YOSHIKAWA, H
    YOSHIKAI, T
    [J]. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 1979, 20 (AUG): : 79 - 85
  • [25] On the Difference of Coefficients of Bazilevic Functions
    Cho, Nak Eun
    Sim, Young Jae
    Thomas, Derek K.
    [J]. COMPUTATIONAL METHODS AND FUNCTION THEORY, 2019, 19 (04) : 671 - 685
  • [26] BAZILEVIC FUNCTIONS - PRELIMINARY REPORT
    SINGH, R
    [J]. NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 19 (05): : A578 - &
  • [27] Generalizations for Certain Bazilevic Functions
    Yavuz, Emel
    Daymaz, Tugba
    Owa, Shigeyoshi
    [J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2021, 45 (01) : 133 - 142
  • [28] Region of variablity for Bazilevic functions
    Bukhari, Syed Zakar Hussain
    Wanas, Abbas Kareem
    Abdalla, Mohamed
    Zafar, Sidra
    [J]. AIMS MATHEMATICS, 2023, 8 (11): : 25511 - 25527
  • [29] HIGHER ORDER AUTOMATIC DIFFERENTIATION OF HIGHER ORDER FUNCTIONS
    Huot, Mathieu
    Staton, Sam
    Vakar, Matthijs
    [J]. LOGICAL METHODS IN COMPUTER SCIENCE, 2022, 18 (01) : 41:1 - 41:34
  • [30] n-Bazilevic Functions
    Al-Oboudi, F. M.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
12345