On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation

被引：0
|
作者：
Sabir Hussain
Khalil Ahmad
机构：
[1] Qassim University,Department of Mathematics, College of Science
[2] Air University,Department of Mathematics
来源：
Journal of Inequalities and Applications | / 2020卷
关键词：
Subordination; Strongly convex function; Janowski function; Bounded boundary rotation; 30C45; 30C50;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we introduce and investigate new classes of normalized analytic functions in an open unit disk with bounded radius and bounded boundary rotation by using the subordination. We discuss inclusion results, co-efficient bounds, growth and distortion theorems of the classes. Moreover, we compute the radii of strong starlikeness, convexity and starlikeness of the classes. It is interesting to mention that most of our findings are best possible as compared to the existing results in the literature.
引用
收藏
相关论文
共 50 条
  • [1] On strongly starlike and strongly convex functions with bounded radius and bounded boundary rotation
    Hussain, Sabir
    Ahmad, Khalil
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2020, 2020 (01)
  • [2] A Survey On Functions Of Bounded Boundary And Bounded Radius Rotation
    Noor, Khalida Inayat
    Malik, Bushra
    Mustafa, Saima
    [J]. APPLIED MATHEMATICS E-NOTES, 2012, 12 : 136 - 152
  • [3] Certain conditions for strongly starlike and strongly convex functions
    Billing, Sukhwinder Singh
    Gupta, Sushma
    Dhaliwal, Sukhjit Singh
    [J]. International Journal of Computational and Mathematical Sciences, 2010, 4 (06): : 290 - 292
  • [4] Certain conditions for strongly starlike and strongly convex functions
    Billing, Sukhwinder Singh
    Gupta, Sushma
    Dhaliwal, Sukhjit Singh
    [J]. World Academy of Science, Engineering and Technology, 2010, 43 : 569 - 571
  • [5] CURVATURE AND RADIUS OF CURVATURE FOR FUNCTIONS WITH BOUNDED BOUNDARY ROTATION
    NOONAN, JW
    [J]. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 1973, 25 (05): : 1015 - 1023
  • [6] FUNCTIONS OF BOUNDED RADIUS ROTATION
    KARUNAKARAN, V
    PADMA, K
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 1981, 12 (05): : 621 - 627
  • [7] STARLIKE RADIUS FOR CLASSES OF REGULAR BOUNDED FUNCTIONS
    SANDERS, RW
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 54 (JAN) : 217 - 220
  • [8] On new subclasses of bi-starlike functions with bounded boundary rotation
    Li, Yumao
    Vijaya, K.
    Murugusundaramoorthy, G.
    Tang, Huo
    [J]. AIMS MATHEMATICS, 2020, 5 (04): : 3346 - 3356
  • [9] Radius Results for Certain Strongly Starlike Functions
    Saliu, Afis
    Jabeen, Kanwal
    Xin, Qin
    Tchier, Fairouz
    Malik, Sarfraz Nawaz
    [J]. SYMMETRY-BASEL, 2023, 15 (05):
  • [10] CERTAIN SUBCLASSES OF STRONGLY STARLIKE AND STRONGLY CONVEX FUNCTIONS DEFINED BY CONVOLUTION
    Rao, Alka
    Mathur, Vatsala
    [J]. BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 2 (03): : 85 - 92
12345