熊良鵬，劉曉麗，羅紹錫

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一類負系數(shù)解析函數(shù)族的哈達瑪乘積

熊良鵬，劉曉麗，羅紹錫

（成都理工大學 工程技術學院，四川 樂山 614000）

解析函數(shù)；負系數(shù)；哈達瑪乘積

1 引言及預備知識

運用與文獻[1]、[6]相似的方法，容易得到下面2個重要的引理.

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2 主要結(jié)果

即

證明完成.

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3 總結(jié)

[1] LEE S K, OWA S, SRIVASTAVA H M. Basic properties and characterization of a certain class of analytic functions with negative coefficients[J]. Utilitas Math, 1989, 36: 121-128.

[2] AOUF M K, HOSSEN H M. and SRIVASTAVA H M. A certain subclass of analytic p-valent functions with negative coefficients[J]. Demonstratio Mathematica, 1998, 31: 595-608.

[3] YAGUCHI T, KWON O, CHO N E, et al. A generalization class of certain subclasses of p-valently analytic functions with negative coefficients[J]. RIMS Kokyuroku(Kyoto), 1993, 821: 101-111.

[4] AOUF M K. The quasi-Hadamard products of certain subclasses of analytic p-valent functions with negative coefficients[J]. Applied Mathematics and Computation, 2007, 187: 54-61.

[5] ALTINTAS O. A subclass of analytic functions with negative coefficients[J]. Hacettepe Bull Natur Sci Eng, 1990, 19: 15-24.

[6] AOUF M K. A subclass of analytic functions with negative coefficients I[J]. Utilitas Math, 1994, 46: 219-231.

[7] AOUF M K. The quasi-Hadamard product of certain analytic functions[J]. Applied Mathematics Letters, 2008, 21(11): 1184-1187.

[8] XIONG Liangpeng. Some general results and extreme points of p-valent functions with negative coefficients[J]. Demonstratio Mathematica, 2011, 43(2): 261-272.

The Hadamard Products of Certain Analytic Functions with Negative Coefficients

XIONG Liang-peng, LIU Xiao-li, LUO Shao-xi

(School of Engineering Technology, Chengdu University of Technology, Leshan 614000, China)

analytic functions; negative coefficients; Hadamard products

1006-7302（2012）02-0018-04

O174.51

A

2011-09-05

成都理工大學工程技術學院科研發(fā)展基金資助項目（C122010003）

熊良鵬（1983—），男，湖北武漢人，講師，碩士，研究方向為單復變函數(shù)論.