Inclusion relationships between classes of functions defined by subordination

被引:9
作者
Dziok, Jacek [1 ]
机构
[1] Univ Rzeszow, Inst Math, PL-35310 Rzeszow, Poland
关键词
analytic function; differential subordination; linear operator; Hadamard product; convex function; BOUQUET DIFFERENTIAL SUBORDINATION; INTEGRAL-OPERATORS; UNIVALENT-FUNCTIONS;
D O I
10.4064/ap100-2-8
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The purpose of the present paper is to investigate various inclusion relationships between several classes of analytic functions defined by subordination. Many interesting applications involving the well-known classes of functions defined by linear operators are also considered.
引用
收藏
页码:193 / 202
页数:10
相关论文
共 16 条
[1]  
[Anonymous], 1989, UNIVALENT FUNCTIONS
[2]   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
[3]   On some applications of the Briot-Bouquet differential subordination [J].
Dziok, J. .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 328 (01) :295-301
[4]   Classes of analytic functions associated with the generalized hypergeometric function [J].
Dziok, J ;
Srivastava, HM .
APPLIED MATHEMATICS AND COMPUTATION, 1999, 103 (01) :1-13
[5]  
EENIGENBURG P, 1984, REV ROUM MATH PURE A, V29, P567
[6]  
GOODMAN AW, 1991, REV ROUMAINE MATH PU, V155, P364
[7]   THE HARDY SPACE OF ANALYTIC-FUNCTIONS ASSOCIATED WITH CERTAIN ONE-PARAMETER FAMILIES OF INTEGRAL-OPERATORS [J].
JUNG, IB ;
KIM, YC ;
SRIVASTAVA, HM .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 176 (01) :138-147
[8]   Conic regions and k-uniform convexity [J].
Kanas, S ;
Wisniowska, A .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1999, 105 (1-2) :327-336
[9]  
Noor KI, 1999, J MATH ANAL APPL, V238, P341
[10]  
Raina R.K., 2008, J INEQ PURE APPL MAT, V9