On circularly symmetric functions

被引：5

作者：

Deng, Qin ^{[1
]}

机构：

[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Circularly symmetric functions; Univalent functions; Logarithmic coefficients; Successive coefficients; SUCCESSIVE COEFFICIENTS;

D O I：

10.1016/j.aml.2010.08.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the logarithmic coefficients of circularly symmetric functions. Also, we investigate the relative growth of successive coefficients of circularly symmetric functions. Furthermore, we obtain the sharp estimate for the order of parallel to D(n)vertical bar - vertical bar D(n-1)parallel to by using the method of the logarithmic coefficients. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：1483 / 1488

页数：6

共 13 条

[1]

DANIEL G, 2000, ANN ACAD SCI FENN-M, V25, P337

[2]

Deng Q, 2002, J JIANGXI U, V26, P128

[3]

Duren P. L., 1983, Univalent Functions

[4]

GOLUZIN GM, 1952, GEOMETRIC THEOREM FU

[5]

Hayman, 1963, J LOND MATH SOC, V38, P228, DOI [10.1112/jlms/s1-38.1.228, DOI 10.1112/JLMS/S1-38.1.228]

[6]

Jenkins J.A., 1955, P AM MATH SOC, V6, P620, DOI DOI 10.1090/S0002-9939-1955-0072219-6

[7]

KE H, 1986, P AM MATH SOC, V95, P37

[8]

LUCAS KW, 1969, J LONDON MATH SOC, V44, P631

[9]

Milin I. M., 1971, Univalent Functions And Orthonormal Systems Izdat. Nauka

[10] ADJACENT COEFFICIENTS OF ODD UNIVALENT-FUNCTIONS [J].

MILIN, VI .

SIBERIAN MATHEMATICAL JOURNAL, 1981, 22 (02) :283-290

← 1 2 →