On certain class of multivalent analytic functions defined by differential subordination

被引:4
作者
Aouf M.K. [1 ]
Seoudy T.M. [2 ]
机构
[1] Department of Mathematics, Faculty of Science
[2] Department of Mathematics, Faculty of Science, Fayoum University
关键词
Analytic functions; Linear operator; Non-Bazilevic̃ functions of order β; Subordination; Superordination;
D O I
10.1007/s12215-011-0042-6
中图分类号
学科分类号
摘要
By making use of the principle of subordination, we introduce a certain class of multivalent analytic functions. Such results as subordination and superordination properties, distortion theorems and inequality properties are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained. © 2011 Springer-Verlag.
引用
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页码:191 / 201
页数:10
相关论文
共 10 条
  • [1] Bernardi S.D., New distortion theorems for functions of positive real part and applications to the partial sums of univalent convex functions, Proc. Am. Math. Soc., 45, 1, pp. 113-118, (1974)
  • [2] Liu M.-S., On certain subclass of analytic functions, J. South China Normal Univ., 4, pp. 15-20, (2002)
  • [3] Miller S.S., Mocanu P.T., Subordinants of differential superordinations, Complex Var., 48, pp. 815-826, (2003)
  • [4] Miller S.S., Mocanu P.T., Differential subordination: theory and applications, Series in Pure and Applied Mathematics, 225, (2000)
  • [5] Obradovic M., A class of univalent functions, Hokkaido Math. J., 27, 2, pp. 329-335, (1998)
  • [6] Rogosinski W., On the coefficients of subordinate functions, Proc. Lond. Math. Soc., 48, pp. 48-82, (1943)
  • [7] Shanmugam T.N., Ravichandran V., Sivasubramanian S., Differential sandwich theorems for subclasses of analytic functions, Aust. J. Math. Anal. Appl., 3, pp. 1-11, (2006)
  • [8] Shanmugam T.N., Sivasubramanian S., Silverman H., On sandwich theorems for some classes of analytic functions, Int. J. Math. Math. Sci, pp. 1-13, (2006)
  • [9] Tuneski N., Darus M., Fekete-Szegö functional for non-Bazilevic̃ functions, Acta Math. Acad. Paed. Nyireyháziensis, 18, pp. 63-65, (2002)
  • [10] Wang Z., Gao C., Liao M., On certain generalized class of non-Bazilevic̃ functions, Acta Math. Acad. Paed. Nyireyháziensis, 21, pp. 147-154, (2005)