UNIFIED SOLUTION OF FEKETE-SZEGO PROBLEM FOR SUBCLASSES OF STARLIKE MAPPINGS IN SEVERAL COMPLEX VARIABLES

被引：23

作者：

Tu, Zhenhan ^{[1
]}

Xiong, Liangpeng ^{[1
]}

机构：

[1] Wuhan Univ, Sch Math & Stat, Wuhan 430072, Hubei, Peoples R China

来源：

MATHEMATICA SLOVACA | 2019年 / 69卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Bounded starlike circular domain; Fekete-Szego problem; Minkowski functional; starlike mappings; subordination; COEFFICIENT BOUNDS; GROWTH; INEQUALITY;

D O I：

10.1515/ms-2017-0273

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let S-phi* be a subclass of starlike functions in the unit disk U; where phi is a convex function such that phi(0) = 1, phi'(0) > 0, R(phi(xi)) > 0 and phi(U) is symmetric with respect to the real axis. We obtain the sharp solution of Fekete-Szego problem for the family S-phi*, and then extend the result to the case of corresponding subclass defined on the bounded starlike circular domain Omega in several complex variables, which give an unified answer of Fekete-Szego problem for the kinds of subclasses of starlike mappings de fined on Omega. At last, we propose two conjectures related the same problems on the unit ball in a complex Banach space and on the unit polydisk in C-n. (C) 2019 Mathematical Institute Slovak Academy of Sciences

引用

页码：843 / 856

页数：14

共 50 条

[31] Fekete-Szego Problem for a Subclass of Analytic Functions Associated with Chebyshev Polynomials [J].

Caglar, Murat ;

Orhan, Halit ;

Kamali, Muhammet .

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40

[32] Fekete-Szego problem for a class of analytic functions [J].

Kumar, S. Sivaprasad ;

Kumar, Virendra .

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2013, 58 (02) :181-188

[33] DISTORTION THEOREMS OF STARLIKE MAPPINGS IN SEVERAL COMPLEX VARIABLES [J].

Liu, Taishun ;

Wang, Jianfei ;

Lu, Jin .

TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (06) :2601-2608

[34] FEKETE-SZEGO PROBLEM FOR A CLASS OF COMPLEX ORDER RELATED TO SALAGEAN OPERATOR [J].

Goyal, S. P. ;

Kumar, R. .

BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (04) :240-246

[35] Fekete-Szego Problems for Spirallike Mappings and Close-to-Quasi-Convex Mappings on the Unit Ball of a Complex Banach Space [J].

Hamada, Hidetaka .

RESULTS IN MATHEMATICS, 2023, 78 (03)

[36] On the Fekete and Szego Inequality for a Subclass of Strongly Starlike Mappings of Order α [J].

Luo, Huan ;

Xu, Qinghua .

RESULTS IN MATHEMATICS, 2017, 72 (1-2) :343-357

[37] FEKETE-SZEGO PROBLEM FOR A CLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION [J].

Kumar, S. Sivaprasad ;

Kumar, Virendra .

TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (02) :187-195

[38] The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains [J].

Orhan, Halit ;

Deniza, Erhan ;

Raducanu, Dorina .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) :283-295

[39] The Fekete-Szego Problem for a Generalized Subclass of Analytic Functions [J].

Deniz, Erhan ;

Orhan, Halit .

KYUNGPOOK MATHEMATICAL JOURNAL, 2010, 50 (01) :37-47

[40] FEKETE-SZEGO PROBLEM FOR A CLASS DEFINED BY AN INTEGRAL OPERATOR [J].

Mishra, Akshaya Kumar ;

Gochhayat, Priyabrat .

KODAI MATHEMATICAL JOURNAL, 2010, 33 (02) :310-328

← 1 2 3 4 5 →