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
来源：
KODAI MATHEMATICAL JOURNAL | 2012年 / 35卷 / 03期
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
  • [1] FEKETE-SZEGO TYPE INEQUALITIES FOR CLASSES OF ANALYTIC FUNCTIONS DEFINED BY USING THE MODIFIED DZIOK-SRIVASTAVA AND THE OWA-SRIVASTAVA FRACTIONAL CALCULUS OPERATORS
    Alhindi, Khadeejah Rasheed
    Darus, Maslina
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2022, 16 (02): : 529 - 539
  • [2] A class of analytic functions involving in the Dziok-Srivastava operator
    Xu, Neng
    Yang, Ding-Gong
    Sokol, Janusz
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [3] Fekete-Szeg? Problem for a Subclass of Meromorphic Functions Defined by the Dziok-Srivastava Operator
    Guo Dong
    Li Zong-tao
    Xiong Liang-peng
    Communications in Mathematical Research, 2018, 34 (02) : 184 - 192
  • [4] A Class of Starlike Functions Defined by the Dziok-Srivastava Operator
    Silverman, Herb
    Murugusundaramoorhty, Gangadharan
    Vijaya, Kaliappan
    KYUNGPOOK MATHEMATICAL JOURNAL, 2009, 49 (01): : 95 - 106
  • [5] Fekete-Szegö problem for certain classes of analytic functions of complex order defined by the Dziok-Srivastava operator
    Al-Hawary T.
    Frasin B.A.
    Darus M.
    Acta Mathematica Vietnamica, 2014, 39 (2) : 185 - 192
  • [6] A class of analytic functions involving in the Dziok-Srivastava operator
    Neng Xu
    Ding-Gong Yang
    Janusz Sokół
    Journal of Inequalities and Applications, 2013 (1)
  • [7] FEKETE-SZEGO PROBLEM FOR A CLASS OF ANALYTIC FUNCTIONS DEFINED BY CONVOLUTION
    Kumar, S. Sivaprasad
    Kumar, Virendra
    TAMKANG JOURNAL OF MATHEMATICS, 2013, 44 (02): : 187 - 195
  • [8] Fekete-Szego problem for a class of analytic functions defined by Carlson-Shaffer operator
    Porwal, Saurabh
    Kumar, Kaushal
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (03): : 323 - 328
  • [9] Subordinations for analytic functions defined by the Dziok-Srivastava linear operator
    Aghalary, R.
    Joshi, S. B.
    Mohapatra, R. N.
    Ravichandran, V.
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 187 (01) : 13 - 19
  • [10] Fekete-Szego problem for a class of analytic functions
    Kumar, S. Sivaprasad
    Kumar, Virendra
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2013, 58 (02): : 181 - 188
12345