On the Fourth Coefficient of Functions in the Caratheodory Class

被引：94

作者：

Kwon, Oh Sang ^{[1
]}

Lecko, Adam ^{[2
]}

Sim, Young Jae ^{[1
]}

机构：

[1] Kyungsung Univ, Dept Math, Pusan 48434, South Korea

[2] Univ Warmia & Mazury, Fac Math & Comp Sci, Dept Complex Anal, Ul Sloneczna 54, PL-10710 Olsztyn, Poland

来源：

COMPUTATIONAL METHODS AND FUNCTION THEORY | 2018年 / 18卷 / 02期

关键词：

Caratheodory functions; Coefficient functionals; Fourth coefficient; Fekete-Szego problem; Hankel determinants; UNIVALENT-FUNCTIONS; HANKEL DETERMINANT; INVERSE;

D O I：

10.1007/s40315-017-0229-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, a formula for the fourth coefficient of Caratheodory functions was computed.

引用

页码：307 / 314

页数：8

共 17 条

[1]

Babalola KO, 2010, INEQUAL THEORY APPL, P1

[2] THIRD ORDER HANKEL DETERMINANT FOR CERTAIN UNIVALENT FUNCTIONS [J].

Bansal, Deepak ;

Maharana, Sudhananda ;

Prajapat, Jugal Kishore .

JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (06) :1139-1148

[3] The Bounds of Some Determinants for Starlike Functions of Order Alpha [J].

Cho, N. E. ;

Kowalczyk, B. ;

Kwon, O. S. ;

Lecko, A. ;

Sim, Y. J. .

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2018, 41 (01) :523-535

[4] SOME COEFFICIENT INEQUALITIES RELATED TO THE HANKEL DETERMINANT FOR STRONGLY STARLIKE FUNCTIONS OF ORDER ALPHA [J].

Cho, N. E. ;

Kowalczyk, B. ;

Kwon, O. S. ;

Lecko, A. ;

Sim, Y. J. .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2017, 11 (02) :429-439

[5]

Dineen S., 1989, SCHWARZ LEMMA

[6]

Duren PL, 1983, Univalent Functions

[7]

Grenander U, 1958, California Monographs in Mathematical Sciences

[8]

Janteng S.A., 2006, J.Inequal. Pure Appl.Math., V7, P1

[9]

Kowalczyk B., B AUSTR MATH SOC

[10]

Kwon O.S., BOUND HANKEL D UNPUB

← 1 2 →