THE FEKETE-SZEGO PROBLEM FOR A CLASS OF ANALYTIC FUNCTIONS DEFINED BY DZIOK-SRIVASTAVA OPERATOR

被引:15
|
作者
Deniz, Erhan [1 ]
Caglar, Murat [2 ]
Orhan, Halit [2 ]
机构
[1] Kafkas Univ, Fac Sci & Letters, Dept Math, Kars, Turkey
[2] Ataturk Univ, Fac Sci, Dept Math, TR-25240 Erzurum, Turkey
关键词
Fekete-Szego problem; k-uniformly convex function; k-parabolic starlike function; Conic domain; Hadamard product; Dziok-Srivastava operator; UNIFORMLY CONVEX-FUNCTIONS; GENERALIZED HYPERGEOMETRIC-FUNCTIONS; UNIVALENT-FUNCTIONS; FRACTIONAL CALCULUS; STARLIKE FUNCTIONS; LINEAR-OPERATORS; SUBCLASSES;
D O I
10.2996/kmj/1352985448
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
By using Dziok-Srivastava operator a new subclass of analytic functions generalized k-parabolic starlike functions, denoted by k - SPl,m(alpha(1);gamma), is introduced. For this class the Fekete-Szego problem is completely solved. Various known or new special cases of our results are also point out.
引用
收藏
页码:439 / 462
页数:24
相关论文
共 50 条
  • [21] A Certain Class of Multivalent Prestarlike Functions Defined by Dziok-Srivastava Linear Operator
    Shenan, Jamal M.
    Abuteim, Abdulshakor S.
    MATEMATIKA, 2010, 26 (02) : 115 - 126
  • [22] SOME NOTES ON A CERTAIN CLASS OF ANALYTIC FUNCTIONS ASSOCIATED WITH THE DZIOK-SRIVASTAVA OPERATOR
    Liu, Jin-Lin
    BULLETIN OF THE INSTITUTE OF MATHEMATICS ACADEMIA SINICA NEW SERIES, 2010, 5 (02): : 215 - 224
  • [23] Some properties of p-valent analytic functions defined by Dziok-Srivastava operator
    Ali, E. E.
    Aouf, M. K.
    El-Ashwah, R. M.
    ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2021, 14 (05)
  • [24] FEKETE-SZEGO PROBLEM FOR CONCAVE UNIVALENT FUNCTIONS DEFINED BY SALAGEAN OPERATOR
    Ibrahim, Alawiah
    Darus, Maslina
    Dragomir, Sever S.
    ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2014, (32): : 73 - 86
  • [25] The Fekete-Szego problem for subclasses of analytic functions defined by a differential operator related to conic domains
    Orhan, Halit
    Deniza, Erhan
    Raducanu, Dorina
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (01) : 283 - 295
  • [26] SUBCLASS OF HARMONIC UNIVALENT FUNCTIONS DEFINED BY DZIOK-SRIVASTAVA OPERATOR
    Aouf, M. K.
    Mostafa, A. O.
    Shamandy, A.
    Adwan, E. A.
    MATEMATICHE, 2013, 68 (01): : 165 - 177
  • [27] Fekete-Szego inequality for a subclass of analytic functions defined by Komatu integral operator
    Arikan, Hava
    Orhan, Halit
    Caglar, Murat
    AIMS MATHEMATICS, 2020, 5 (03): : 1745 - 1756
  • [28] 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
  • [29] Classes of multivalent analytic functions involving the Dziok-Srivastava operator
    Patel, J.
    Mishra, A. K.
    Srivastavac, H. M.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2007, 54 (05) : 599 - 616
  • [30] A SUBCLASS OF HARMONIC FUNCTIONS WITH VARYING ARGUMENTS DEFINED BY DZIOK-SRIVASTAVA OPERATOR
    Murugusundaramoorthy, G.
    Vijaya, K.
    Raina, R. K.
    ARCHIVUM MATHEMATICUM, 2009, 45 (01): : 37 - 46