THE LOGARITHMIC COEFFICIENT INEQUALITY FOR CLOSE-TO-CONVEX FUNCTIONS OF COMPLEX ORDER

被引：1

作者：

Caglar, Murat ^{[1
]}

机构：

[1] Kafkas Univ, Fac Sci & Letters, Dept Math, TR-36100 Kars, Turkey

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2015年 / 9卷 / 03期

关键词：

Close-to-convex functions; logarithmic coefficients; starlike functions; UNIVALENT-FUNCTIONS;

D O I：

10.7153/jmi-09-78

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that if n >= 2 for each close-to-convex functions of complex order b in J whose n-th logarithmic coefficients gamma(n) satisfies |gamma(n)| <= An(-1) log n, where A is an absolute constant.

引用

页码：951 / 959

页数：9

共 15 条

[1] Al-Amiri H. S., 1990, Int. J. Math. Math. Sci., V13, DOI [10.1155/S0161171290000473, DOI 10.1155/S0161171290000473]
[2] Anderson J.M., 1977, Bull. Lond. Math. Soc., V9, P129
[3] AOUF M. K., 1985, J NAT SCI MATH, V25, P1
[4] On the logarithmic coefficients of Bazilevic functions
Deng, Qin
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5889 - 5894
[5] On circularly symmetric functions
Deng, Qin
[J]. APPLIED MATHEMATICS LETTERS, 2010, 23 (12) : 1483 - 1488
[6] Duren P. L, 1983, Grundlehren der Mathematischen Wissenchaffen Univalent Functions
[7] COEFFICIENTS OF UNIVALENT FUNCTIONS
DUREN, PL
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1977, 83 (05) : 891 - 911
[8] LOGARITHMIC COEFFICIENTS OF UNIVALENT-FUNCTIONS
DUREN, PL
LEUNG, YJ
[J]. JOURNAL D ANALYSE MATHEMATIQUE, 1979, 36 : 36 - 43
[9] On the logarithmic coefficients of close-to-convex functions
Elhosh, MM
[J]. JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES A-PURE MATHEMATICS AND STATISTICS, 1996, 60 : 1 - 6
[10] Girela D, 2000, ANN ACAD SCI FENN-M, V25, P337

← 1 2 →