A general approach to the Fekete-Szego problem

被引：90

作者：

Choi, Jae Ho

Kim, Yong Chan

Sugawa, Toshiyuki

机构：

[1] Daegu Natl Univ Educ, Dept Math Educ, Taegu 705715, South Korea

[2] Yeungnam Univ, Dept Math, Coll Educ, Kyongsan 712749, South Korea

[3] Hiroshima Univ, Dept Math, Grad Sch Sci, Higashihiroshima 7398526, Japan

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2007年 / 59卷 / 03期

关键词：

univalent function; subordination; coefficient bound;

D O I：

10.2969/jmsj/05930707

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we provide a new method solving the Fekete-Szego problem for classes of close-to-convex functions defined in terms of subordination. As an example, we apply it to the class of strongly close-to-convex functions.

引用

页码：707 / 727

页数：21

共 14 条

[1]

[Anonymous], 1952, CONFORMAL MAPPINGS

[2]

[Anonymous], 1991, ANN UNIVMARIAE CURIE

[3]

Chonweerayoot A., 1992, PUBL I MATH-BEOGRAD, V66, P18

[4]

Darus M., 2000, SCI MATH, V3, P201

[5]

Duren P. L., 1983, Univalent functions

[6]

Eenigenburg P. J., 1973, ANN U M CURIESKLOD A, V27, P5

[7]

FEKETE M., 1933, J. London Math. Soc., V8, P85, DOI [DOI 10.1112/JLMS/S1-8.2.85, 10.1112/jlms/s1-8.2.85]

[8]

Goodman A.W., 1983, UNIVALENT FUNCTIONS

[9] A COEFFICIENT INEQUALITY FOR CERTAIN CLASSES OF ANALYTIC FUNCTIONS [J].

KEOGH, FR ;

MERKES, EP .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (01) :8-&

[10] Coefficient bounds and convolution properties for certain classes of close-to-convex functions [J].

Kim, YC ;

Choi, JH ;

Sugawa, T .

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2000, 76 (06) :95-98

← 1 2 →