Classes of analytic functions associated with the generalized hypergeometric function

被引:303
作者
Dziok, J
Srivastava, HM [1 ]
机构
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Pedag Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland
基金
加拿大自然科学与工程研究理事会;
关键词
26A33; Primary: 30C45; Secondary: 33C20;
D O I
10.1016/S0096-3003(98)10042-5
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Using the generalized hypergeometric function, we introduce and study a class of analytic functions with negative coefficients. Coefficients estimates, distortion theorems, extreme points, and the radii of convexity and starlikeness for this class are given. Relevant connections of these results with those in several earlier investigations are indicated. (C) 1999 Elsevier Science Inc. All rights reserved.
引用
收藏
页码:1 / 13
页数:13
相关论文
共 14 条
[1]  
[Anonymous], 1978, IZV VYSSH UCHEBN ZAV
[2]   CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].
BERNARDI, SD .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&
[3]   STARLIKE AND PRESTARLIKE HYPERGEOMETRIC-FUNCTIONS [J].
CARLSON, BC ;
SHAFFER, DB .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) :737-745
[4]  
Dziok J., 1995, FOLIA SCI U TECH RES, V20, P21
[5]  
Kim Y. C., 1997, Complex Variables and Elliptic Equations, V34, P293, DOI [10.1080/17476939708815054, DOI 10.1080/17476939708815054]
[6]   SOME CLASSES OF REGULAR UNIVALENT FUNCTIONS [J].
LIBERA, RJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) :755-&
[7]   ON RADIUS OF UNIVALENCE OF CERTAIN ANALYTIC FUNCTIONS [J].
LIVINGSTON, AE .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1966, 17 (02) :352-+
[8]  
Owa S., 1978, Kyungpook Math. J., V18, P53
[9]   NEW CRITERIA FOR UNIVALENT FUNCTIONS [J].
RUSCHEWEYH, S .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1975, 49 (01) :109-115
[10]  
Srivastava H. M., 1989, UNIVALENT FUNCTIONS