SOME SUBCLASSES OF CLOSE-TO-CONVEX AND QUASI-CONVEX FUNCTIONS

被引：0

作者：

Wang, Zhi-Gang ^{[1
]}

机构：

[1] Changsha Univ Sci & Technol, Sch Math & Comp Sci, Changsha 410076, Hunan, Peoples R China

来源：

MATEMATICKI VESNIK | 2007年 / 59卷 / 1-2期

关键词：

Close-to-convex functions; quasi-convex functions; differential sub-ordination; Hadamard product; 2k-symmetric conjugate points;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the present paper, the author introduce two new subclasses S-sc((k)) (alpha, beta, gamma) of close-to-convex functions and C-sc((k)) (alpha, beta, gamma) of quasi-convex functions with respect to 2k-symmetric conjugate points. The coefficient inequalities and integral representations for functions belonging to these classes are provided, the inclusion relationships and convolution conditions for these classes are also provided.

引用

页码：65 / 73

页数：9

共 50 条

[21] ON LOGARITHMIC COEFFICIENTS OF SOME CLOSE-TO-CONVEX FUNCTIONS
Ali, Md Firoz
Vasudevarao, A.
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (03) : 1131 - 1142
[22] Some subclasses of close-to-convex mappings associated with conic regions
Srivastava, H. M.
Khan, Muhammad Rafiullah
Arif, Muhammad
APPLIED MATHEMATICS AND COMPUTATION, 2016, 285 : 94 - 102
[23] LOGARITHMIC COEFFICIENTS OF SOME CLOSE-TO-CONVEX FUNCTIONS
Ali, Md Firoz
Vasudevarao, A.
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2017, 95 (02) : 228 - 237
[24] Quasi-convex functions on subspaces and boundaries of quasi-convex sets
Zhang, KW
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2004, 134 : 783 - 799
[25] A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS
Seker, Bilal
Cho, Nak Eun
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 42 (04): : 373 - 379
[26] On a Subclass of Close-to-Convex Functions
Yao Liang Chung
Maisarah Haji Mohd
See Keong Lee
Bulletin of the Iranian Mathematical Society, 2018, 44 : 611 - 621
[27] ON INEQUALITIES RELATED TO SOME QUASI-CONVEX FUNCTIONS
Liu, Z.
PROBLEMY ANALIZA-ISSUES OF ANALYSIS, 2015, 4 (02): : 45 - 64
[28] The refinement of Fekete and Szego problems for close-to-convex functions and close-to-quasi-convex mappings
Xu, Qinghua
Jiang, Ting
Liu, Taishun
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 527 (01)
[29] WEAKLY CLOSE-TO-CONVEX FUNCTIONS
LIVINGSTON, AE
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 1988, 18 (04) : 719 - 732
[30] CLOSE-TO-CONVEX SCHLICHT FUNCTIONS
KAPLAN, W
BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1953, 59 (04) : 351 - 351

← 1 2 3 4 5 →