Some inclusion properties of a certain family of integral operators

被引:171
作者
Choi, JH
Saigo, M
Srivastava, HM [1 ]
机构
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3P4, Canada
[2] Fukuoka Univ, Dept Appl Math, Fukuoka 8140180, Japan
基金
加拿大自然科学与工程研究理事会;
关键词
analytic functions; univalent functions; starlike functions; convex functions; close-to-convex functions; subordination; Hadamard product (or convolution); integral operators; fractional derivatives;
D O I
10.1016/S0022-247X(02)00500-0
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The authors introduce several new subclasses of analytic functions, which are defined by means of a general integral operator I-lambda,(mu), and investigate various inclusion properties of these subclasses. Many interesting applications involving these and other families of integral operators are also considered. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码:432 / 445
页数:14
相关论文
共 18 条
[1]  
[Anonymous], B ACAD POLON SCI SMA
[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]  
Eenigenburg P., 1983, INT SERIES NUMERICAL, V64, P339
[5]  
GOEL RM, 1981, INDIAN J PURE AP MAT, V12, P634
[6]   Coefficient bounds and convolution properties for certain classes of close-to-convex functions [J].
Kim, YC ;
Choi, JH ;
Sugawa, T .
PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2000, 76 (06) :95-98
[7]   SOME CLASSES OF REGULAR UNIVALENT FUNCTIONS [J].
LIBERA, RJ .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1965, 16 (04) :755-&
[8]  
Liu J.-L., 2002, J NATUR GEOM, V21, P81
[9]   The Noor integral and strongly starlike functions [J].
Liu, JL .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2001, 261 (02) :441-447
[10]  
Ma WC, 1992, P C COMPL AN, P157