Some inclusion relationships associated with Dziok-Srivastava operator

被引:7
作者
Aouf, M. K. [1 ]
机构
[1] Mansoura Univ, Fac Sci, Mansoura 35516, Egypt
关键词
p-Valent; Starlike; Convex; Close-to-convex; Quasi-convex; Dziok-Srivastava operator; FRACTIONAL DERIVATIVE OPERATOR; MULTIVALENT-FUNCTIONS; NEGATIVE COEFFICIENTS; UNIVALENT FUNCTIONS; ANALYTIC-FUNCTIONS; RADIUS; FAMILY;
D O I
10.1016/j.amc.2010.01.034
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we introduce and study some new subclasses of p-valent starlike, convex, close-to-convex and quasi-convex functions defined by Dziok-Srivastava operator. Inclusion relationships are established and integral operator of functions in these subclasses is discussed. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码:431 / 437
页数:7
相关论文
共 22 条
[1]  
Aouf MK., 1988, Internat. J. Math. Math. Sci, V11, P259, DOI [10.1155/S0161171288000316, DOI 10.1155/S0161171288000316]
[2]   CONVEX AND STARLIKE UNIVALENT FUNCTIONS [J].
BERNARDI, SD .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 135 (JAN) :429-&
[3]   Inclusion relationships and argument properties for certain subclasses of multivalent functions associated with a family of linear operators [J].
Cho, NE ;
Kwon, OS ;
Srivastava, HM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 292 (02) :470-483
[4]   Some inclusion properties of a certain family of integral operators [J].
Choi, JH ;
Saigo, M ;
Srivastava, HM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (01) :432-445
[5]   Classes of analytic functions associated with the generalized hypergeometric function [J].
Dziok, J ;
Srivastava, HM .
APPLIED MATHEMATICS AND COMPUTATION, 1999, 103 (01) :1-13
[6]  
GOODMAN AW, 1950, T AM MATH SOC, V68, P204
[7]  
KUMAR V, 1984, INDIAN J PURE AP MAT, V15, P1216
[8]  
KUMAR V, 1984, INDIAN J PURE APPL M, V15
[9]   SOME CLASSES OF REGULAR UNIVALENT FUNCTIONS [J].
LIBERA, RJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) :755-&
[10]   SOME RADIUS OF CONVEXITY PROBLEMS [J].
LIBERA, RJ .
DUKE MATHEMATICAL JOURNAL, 1964, 31 (01) :143-&