ON A CLASS OF ANALYTIC FUNCTIONS RELATED TO CONIC DOMAINS AND ASSOCIATED WITH CARLSON-SHAFFER OPERATOR

被引：0
|
作者：
Hussain, S. [1 ]
Sokol, J. [2 ]
机构：
[1] COMSATS Inst Informat Technol, Dept Math, Abbottabad, Pakistan
[2] Rzeszow Univ Technol, Dept Math, PL-35959 Rzeszow, Poland
来源：
ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 04期
关键词：
Hadamard product (or convolution); differential subordination; Carlson-Shaffer operator; k-starlike functions; k-uniformly convex function; UNIFORMLY CONVEX-FUNCTIONS; UNIVALENT-FUNCTIONS; HYPERGEOMETRIC-FUNCTIONS; STARLIKE FUNCTIONS; SUBCLASSES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Making use of the Carlson-Shaffer convolution operator, we introduce and study a new class of analytic functions related to conic domains. The main object of this paper is to investigate inclusion relations, coefficient bound for this class. We also show that this class is closed under convolution with a convex function. Some applications are also discussed.
引用
收藏
页码：1399 / 1407
页数：9
相关论文
共 50 条
  • [21] A New Class of Analytic Functions Associated with Slgean Operator
    Arif, Muhammad
    Ahmad, Khurshid
    Liu, Jin-Lin
    Sokol, Janusz
    JOURNAL OF FUNCTION SPACES, 2019, 2019
  • [22] ON A CLASS OF MULTIVALENT ANALYTIC FUNCTIONS ASSOCIATED WITH AN INTEGRAL OPERATOR
    Liu, Jin-Lin
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2010, 5 (01): : 95 - 110
  • [23] Some inclusion results associated with certain subclass of analytic functions inolving Hohlov operator
    Thulasiram, T.
    Suchithra, K.
    Sudharsan, T. V.
    Murugusundaramoorthy, G.
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2014, 108 (02) : 711 - 720
  • [24] A class of multivalently analytic functions associated with the Dziok-Srivastava operator
    Liu, Jin-Lin
    Srivastava, H. M.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (05) : 401 - 417
  • [25] Subordinations for multivalent analytic functions associated with the Dziok-Srivastava operator
    Srivastava, H. M.
    Yang, Ding-Gong
    Xu, N-Eng
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2009, 20 (08) : 581 - 606
  • [26] A class of analytic functions involving in the Dziok-Srivastava operator
    Xu, Neng
    Yang, Ding-Gong
    Sokol, Janusz
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [27] Classes of analytic functions related to the Dziok-Srivastava operator
    Aouf, M. K.
    Seoudy, T. M.
    INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2011, 22 (06) : 423 - 430
  • [28] On coefficient inequalities of functions associated with conic domains
    Noor, Khalida Inayat
    Malik, Sarfraz Nawaz
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) : 2209 - 2217
  • [29] RADIUS CONSTANTS FOR A CLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH A MULTIPLIER LINEAR OPERATOR
    Sharma, Poonam
    Ankita
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2015, 30 (05): : 693 - 705
  • [30] THE COEFFICIENT ESTIMATES FOR A CLASS DEFINED BY HOHLOV OPERATOR USING CONIC DOMAINS
    Caglar, Murat
    Gurusamy, Palpandy
    Orhan, Halit
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, 11 (02): : 157 - 172
12345