ON A CLOSE-TO-CONVEX ANALOGUE OF CERTAIN STARLIKE FUNCTIONS

被引：2

作者：

Allu, Vasudevarao ^{[1
]}

Sokol, Janusz ^{[2
]}

Thomas, Derek K. ^{[3
]}

机构：

[1] Indian Inst Technol Bhubaneswar, Sch Basic Sci, Bhubaneswar 752050, Odisha, India

[2] Univ Rzeszow, Fac Math & Nat Sci, Ul Prof Pigonia 1, PL-35310 Rzeszow, Poland

[3] Swansea Univ, Dept Math, Singleton Pk, Swansea SA2 8PP, W Glam, Wales

来源：

BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2020年 / 102卷 / 02期

关键词：

univalent function; starlike function; convex function; alpha-convex function; coefficient estimate; integral mean;

D O I：

10.1017/S0004972719001606

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

For f analytic in the unit disk D, we consider the close-to-convex analogue of a class of starlike functions introduced by R. Singh ['On a class of star-like functions', Compos. Math. 19(1) (1968), 78-82]. This class of functions is defined by vertical bar zf'(z)/g(z) - 1 vertical bar < 1 for z is an element of D, where g is starlike in D. Coefficient and other results are obtained for this class of functions.

引用

页码：268 / 281

页数：14

共 50 条

[41] On a certain new subclass of meromorphic close-to-convex functions
Huo Tang
Guan-Tie Deng
Shu-Hai Li
Journal of Inequalities and Applications, 2013
[42] Certain sharp estimates of Ozaki close-to-convex functions
Kumar, Sushil
Pandey, Rakesh Kumar
Rai, Pratima
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2024, 17 (06)
[43] Coefficient Bounds for a Certain Class of Close-to-convex Functions
Yahya, Abdullah
Soh, Shaharuddin Cik
PROCEEDING OF THE 25TH NATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES (SKSM25): MATHEMATICAL SCIENCES AS THE CORE OF INTELLECTUAL EXCELLENCE, 2018, 1974
[44] RADIUS PROBLEMS IN A CERTAIN SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS
Kowalczyk, Joanna
Les, Edyta
Sokol, Janusz
HOUSTON JOURNAL OF MATHEMATICS, 2014, 40 (04): : 1061 - 1072
[45] Some properties of certain meromorphic close-to-convex functions
Wang, Zhi-Gang
Sun, Yong
Xu, Neng
APPLIED MATHEMATICS LETTERS, 2012, 25 (03) : 454 - 460
[46] The Third Logarithmic Coefficient for Certain Close-to-Convex Functions
Alarifi, Najla M.
JOURNAL OF MATHEMATICS, 2022, 2022
[47] On a certain new subclass of meromorphic close-to-convex functions
Tang, Huo
Deng, Guan-Tie
Li, Shu-Hai
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[48] Determination of Some Properties of Starlike and Close-to-Convex Functions According to Subordinate Conditions with Convexity of a Certain Analytic Function
Sahin, Hasan
Yildiz, Ismet
UKRAINIAN MATHEMATICAL JOURNAL, 2023, 75 (7) : 1138 - 1152
[49] The Fekete-Szego inequality for close-to-convex functions with respect to a certain starlike function dependent on a real parameter
Kowalczyk, Bogumila
Lecko, Adam
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
[50] Determination of Some Properties of Starlike and Close-to-Convex Functions According to Subordinate Conditions with Convexity of a Certain Analytic Function
Hasan Şahin
İsmet Yildiz
Ukrainian Mathematical Journal, 2023, 75 : 1138 - 1152

← 1 2 3 4 5 →