On Certain Sufficient Conditions for Analytic Univalent Functions

被引:0
作者
Murugusundaramoorthy, G. [1 ]
Magesh, N. [2 ]
机构
[1] VIT Univ, Sch Adv Sci, Vellore 632014, Tamil Nadu, India
[2] Govt Arts Coll Men, Dept Math, Krishnagiri 635001, Tamil Nadu, India
来源
EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS | 2011年 / 4卷 / 01期
关键词
Univalent functions; starlike functions; convex functions; Hadamard product; generalized hypergeometric functions;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper, we introduce a new class B-m(l) (alpha, delta) of functions which is defined by hypergeometric function and obtain its relations with some well- known subclasses of analytic univalent functions. Furthermore, as a special case, we show that convex functions of order 1/ 2 are also members of the family B-m(l) (alpha, delta).
引用
收藏
页码:76 / 82
页数:7
相关论文
共 9 条
[1]   CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].
BERNARDI, SD .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&
[2]   STARLIKE AND PRESTARLIKE HYPERGEOMETRIC-FUNCTIONS [J].
CARLSON, BC ;
SHAFFER, DB .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1984, 15 (04) :737-745
[3]   Certain subclasses of analytic functions associated with the generalized hypergeometric function [J].
Dziok, J ;
Srivastava, HM .
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2003, 14 (01) :7-18
[4]  
Frasin B.A., 2008, ANAL U ORADEA, VXV, p61U
[5]  
Frasin B. A., 2001, INT J MATH MATH SCI, V25, P305
[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]  
Ruscheweyh St., 1975, P AM MATH SOC, V49, P109
[9]   SOME CHARACTERIZATION AND DISTORTION-THEOREMS INVOLVING FRACTIONAL CALCULUS, GENERALIZED HYPERGEOMETRIC-FUNCTIONS, HADAMARD-PRODUCTS, LINEAR-OPERATORS, AND CERTAIN SUBCLASSES OF ANALYTIC-FUNCTIONS [J].
SRIVASTAVA, HM ;
OWA, S .
NAGOYA MATHEMATICAL JOURNAL, 1987, 106 :1-28