Order of convexity and univalency of general integral operator

被引：19
|
作者：
Frasin, B. A. [1 ]
机构：
[1] Al Al Bayt Univ, Dept Math, Mafraq, Jordan
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2011年 / 348卷 / 06期
关键词：
D O I：
10.1016/j.jfranklin.2011.03.006
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we introduce the integral operator I(gamma)(alpha i,beta i)(f(1),...,f(n))(z) of analytic functions. The order of convexity of this integral operator when gamma = 1 is determined. Furthermore, we derive sufficient conditions for this operator to be analytic and univalent in the open unit disc. (C) 2011 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：1013 / 1019
页数：7
相关论文
共 50 条
  • [41] GENERAL INTEGRAL OPERATOR DEFINED BY HADAMARD PRODUCT
    Frasin, B. A.
    [J]. MATEMATICKI VESNIK, 2010, 62 (02): : 127 - 136
  • [42] Univalence criterion for a certain general integral operator
    Macarie, Vasile Marius
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2012, 57 (02): : 221 - 225
  • [43] Some Properties for Certain General Integral Operator
    Macarie, Vasile Marius
    Breaz, Daniel
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2013, 6 (03): : 307 - 314
  • [44] Some univalence conditions for a general integral operator
    Stanciu, Laura
    Breaz, Daniel
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2012, 33 (06) : 801 - 806
  • [45] SUFFICIENT CONDITIONS FOR UNIVALENCE OF A GENERAL INTEGRAL OPERATOR
    Selvaraj, Chellian
    Karthikeyan, Kadhavoor Ragavan
    [J]. BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2009, 46 (02) : 367 - 372
  • [46] Univalence Conditions Related to a General Integral Operator
    Breaz, Nicoleta
    Pescar, Virgil
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [47] Some Univalence Conditions for a General Integral Operator
    Laura STANCIU
    Daniel BREAZ
    [J]. Chinese Annals of Mathematics(Series B), 2012, 33 (06) : 801 - 806
  • [48] UNIVALENCE CONDITIONS FOR A NEW GENERAL INTEGRAL OPERATOR
    Frasin, B. A.
    Aouf, M. K.
    [J]. HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2010, 39 (04): : 567 - 575
  • [49] Some univalence conditions for a general integral operator
    Laura Stanciu
    Daniel Breaz
    [J]. Chinese Annals of Mathematics, Series B, 2012, 33 : 801 - 806
  • [50] Bounds of a Unified Integral Operator via Exponentially (s, m)-Convexity and Their Consequences
    Hu, Yi
    Farid, Ghulam
    Zijiang
    Mahreen, Kahkashan
    [J]. JOURNAL OF FUNCTION SPACES, 2020, 2020
12345