ON SANDWICH THEOREMS FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS ASSOCIATED WITH DZIOK-SRIVASTAVA OPERATOR

被引:1
作者
Shanmugam, T. N. [1 ]
Jeyaraman, M. P. [2 ]
机构
[1] Anna Univ, Dept Math, Madras 25, Tamil Nadu, India
[2] Easwari Engn Coll, Dept Math, Madras 89, Tamil Nadu, India
来源
TAIWANESE JOURNAL OF MATHEMATICS | 2009年 / 13卷 / 6B期
关键词
Differential subordination; Differential superordination; Subordinant and best dominant;
D O I
10.11650/twjm/1500405650
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper, we give some applications of first order differential subordination and superordinations to obtain sufficient conditions for normalized analytic functions defined by certain linear operators to be subordinated and superordinated to a given univalent function.
引用
收藏
页码:1949 / 1961
页数:13
相关论文
共 11 条
  • [1] Ali R.M., 2004, Far East J. Math. Sci, V15, P87
  • [2] A class of superordination-preserving integral operators
    Bulboaca, T
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 2002, 13 (03): : 301 - 311
  • [3] Bulboaca T., 2002, Demonstr. Math, V35, P287, DOI [10.1515/dema-2002-0209, DOI 10.1515/DEMA-2002-0209]
  • [4] Certain subclasses of analytic functions associated with the generalized hypergeometric function
    Dziok, J
    Srivastava, HM
    [J]. INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2003, 14 (01) : 7 - 18
  • [5] Classes of analytic functions associated with the generalized hypergeometric function
    Dziok, J
    Srivastava, HM
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 1999, 103 (01) : 1 - 13
  • [6] Dzoik J., 2002, ADV STUD CONT MATH, V5, P115
  • [7] Miller S. S., 2003, Complex Variables, Theory and Application: An International Journal, V48, P815, DOI [10.1080/02781070310001599322, DOI 10.1080/02781070310001599322]
  • [8] Miller S.S., 2000, Series of Monographs and Textbooks in Pure and Applied Mathematics, V225
  • [9] Srivastava H. M., 2000, ANAL ITS APPL, P209
  • [10] Uralegaddi B. A., 1992, Current topics in analytic function theory, P371