Subordination and superordination properties of multivalent functions defined by certain integral operator

被引：23

作者：

Aouf, M. K. ^{[1
]}

Bulboaca, T. ^{[2
]}

机构：

[1] Mansoura Univ, Fac Sci, Mansoura 35516, Egypt

[2] Univ Babes Bolyai, Fac Math & Comp Sci, R-3400 Cluj Napoca, Romania

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2010年 / 347卷 / 03期

关键词：

Analytic function; Convex function; Integral operator; Differential subordination and superordination; UNIVALENCE;

D O I：

10.1016/j.jfranklin.2010.01.001

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

For normalized multivalent functions, we study different applications of the theory of differential subordination and superordination, that are connected to a recent linear operator defined by Liu and Owa. (C) 2010 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：641 / 653

页数：13

共 19 条

[1]

Ali R.M., 2004, Far East J. Math. Sci, V15, P87

[2] ON SOME RESULTS FOR lambda-SPIRALLIKE AND lambda-ROBERTSON FUNCTIONS OF COMPLEX ORDER [J].

Aouf, M. ;

Al-Oboudi, F. ;

Haidan, M. .

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2005, 77 (91) :93-98

[3] A class of superordination-preserving integral operators [J].

Bulboaca, T .

INDAGATIONES MATHEMATICAE-NEW SERIES, 2002, 13 (03) :301-311

[4]

Bulboaca T., 2002, Demonstr. Math, V35, P287, DOI [10.1515/dema-2002-0209, DOI 10.1515/DEMA-2002-0209]

[5]

Bulboaca T., 2005, Differential Subordinations and Superordinations, Recent Results

[6] 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

[7]

Liu JL, 2004, INT J MATH MATH SCI, V3, P69

[8]

Miller S. S., 2003, Complex Variables, Theory and Application: An International Journal, V48, P815, DOI [10.1080/02781070310001599322, DOI 10.1080/02781070310001599322]

[9]

Miller S.S., 2000, Series of Monographs and Textbooks in Pure and Applied Mathematics, V225

[10] ON CERTAIN PROPERTIES FOR SOME CLASSES OF STARLIKE FUNCTIONS [J].

OBRADOVIC, M ;

OWA, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1990, 145 (02) :357-364

← 1 2 →