Properties for uniformly starlike and related functions under the Srivastava-Attiya operator

被引：8
|
作者：
Sun, Yong [1 ]
Kuang, Wei-Ping [1 ]
Wang, Zhi-Gang [2 ]
机构：
[1] Huaihua Univ, Dept Math, Huaihua 418008, Hunan, Peoples R China
[2] Anyang Normal Univ, Sch Math & Stat, Anyang 455002, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 218卷 / 07期
关键词：
Uniformly starlike functions; Convex functions; Close-to-convex functions; Quasi-convex functions; Inclusion relations; Coefficient inequalities; Srivastava-Attiya operator;
D O I：
10.1016/j.amc.2011.09.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper, we introduce and investigate classes of analytic functions involving the Srivastava-Attiya operator. Basic properties for beta-uniformly starlike functions of order gamma are studied, such as inclusion relations, sufficient conditions, coefficient inequalities and distortion inequalities. The results are also extended to beta-uniformly convex, close-to-convex, and quasi-convex functions. Relevant connections of the results presented here with those obtained in earlier works are also pointed out. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：3615 / 3623
页数：9
相关论文
共 50 条
  • [1] SUBCLASSES OF STARLIKE FUNCTIONS INVOLVING SRIVASTAVA-ATTIYA INTEGRAL OPERATOR
    Owa, Shigeyoshi
    Murugusundaramoorthy, G.
    Magesh, N.
    BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 4 (04): : 35 - 44
  • [2] APPLICATIONS OF SRIVASTAVA-ATTIYA OPERATOR TO THE CLASSES OF STRONGLY STARLIKE AND STRONGLY CONVEX FUNCTIONS
    Prajapat, J. K.
    Goyal, S. P.
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2009, 3 (01): : 129 - 137
  • [3] Some Applications of Srivastava-Attiya Operator to p-Valent Starlike Functions
    EA Elrifai
    HE Darwish
    AR Ahmed
    Journal of Inequalities and Applications, 2010
  • [4] A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator
    H.M.SRIVASTAVA
    Dorina RADUCANU
    Grigore S.SLGEAN
    Acta Mathematica Sinica,English Series, 2013, (05) : 833 - 840
  • [5] A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator
    HMSRIVASTAVA
    Dorina RADUCANU
    Grigore SSLGEAN
    Acta Mathematica Sinica, 2013, 29 (05) : 833 - 840
  • [6] Some Applications of Srivastava-Attiya Operator to p-Valent Starlike Functions
    Elrifai, E. A.
    Darwish, H. E.
    Ahmed, A. R.
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2010,
  • [7] A new class of generalized close-to-starlike functions defined by the Srivastava-Attiya operator
    H. M. Srivastava
    Dorina Răducanu
    Grigore S. Sălăgean
    Acta Mathematica Sinica, English Series, 2013, 29 : 833 - 840
  • [8] A New Class of Generalized Close-to-Starlike Functions Defined by the Srivastava-Attiya Operator
    Srivastava, H. M.
    Raducanu, Dorina
    Salagean, Grigore S.
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (05) : 833 - 840
  • [9] Some properties of the generalized Srivastava-Attiya operator
    Wang, Zhi-Gang
    Liu, Zhi-Hong
    Sun, Yong
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2012, 23 (03) : 223 - 236
  • [10] PROPERTIES OF CERTAIN CLASSES OF ANALYTIC FUNCTIONS DEFINED BY SRIVASTAVA-ATTIYA OPERATOR
    Khairnar, S. M.
    More, Meena
    DEMONSTRATIO MATHEMATICA, 2010, 43 (01) : 55 - 79
12345