On certain subclasses of analytic functions defined by wright generalized hypergeometric functions

被引:0
作者
Murugusundaramoorthy G. [1 ]
Magesh N. [2 ]
机构
[1] School of Science and Humanities, VIT University
[2] Department of Mathematics, Adhiyamaan College of Engineering (Autonomous)
关键词
Convex; Hadamard product; Integral means; Starlike; Subordinating factor sequence; Univalent; Wright generalized hypergeometric functions;
D O I
10.1134/S1995080209010089
中图分类号
学科分类号
摘要
In this paper, we introduce a generalized class of starlike functions and obtain the subordination results for various subclasses of starlike functions. Further, we obtain the integral means inequalities for various subclasses of starlike functions. Some interesting consequences of our results are also pointed out. © 2009 Pleiades Publishing, Ltd.
引用
收藏
页码:57 / 66
页数:9
相关论文
共 17 条
  • [1] Aouf M.K., Murugusundaramoorthy G., On a subclass of uniformly convex functions defined by the Dziok-srivastava operator, Australian J. Math. Analysis and Appl., 5, 1, (2008)
  • [2] Bernardi S.D., Convex and starlike univalent functions, Trans. Amer. Math. Soc., 135, (1969)
  • [3] Carlson B.C., Shaffer S.B., Starlike and prestarlike hypergeometric functions, SIAM J. Math. Anal., 15, (2002)
  • [4] Dziok J., Srivastava H.M., Certain subclasses of analytic functions associated with the generalized hypergeometric function, Intergral Transform Spec. Funct., 14, (2003)
  • [5] Dziok J., Raina, Families of analytic functions associated with the Wright generalized hypergeometric function, DemonstratioMath, 37, 3, (2004)
  • [6] Frasin B.A., Subordination results for a class of analytic functions defined by a linear operator, J. Ineq. Pure and Appl. Math., 7, 4134, (2006)
  • [7] Libera R.J., Some classes of regular univalent functions, Proc. Amer. Math. Soc., 16, (1965)
  • [8] Littlewood J.E., On inequalities in theory of functions, Proc. London Math. Soc., 23, (1925)
  • [9] Livingston A.E., On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc., 17, (1966)
  • [10] Ruscheweyh St., New criteria for univalent functions, Proc. Amer. Math. Soc., 49, (1975)