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Subordination and Superordination Properties for a Class of Integral Operators 被引量：1

Subordination and Superordination Properties for a Class of Integral Operators
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摘要 In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorems for these integral operators are also considered. In the present paper, we obtain some subordination- and superordinatiompreserving properties of certain integral operators defined on the space of normalized analytic functions in the open unit disk. The sandwich-type theorems for these integral operators are also considered.
作者 Nak Eun CHO Teodor BULBOACA
机构地区 Department of Applied Mathematics Faculty of Mathematics and Computer Science
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2010年第3期515-522,共8页 数学学报（英文版）
基金 Supported by the Korea Research Foundation from the Korean Government (MOEHRD, Basic Research Promotion Fund) (Grant No. KRF-2008-313-C00035)
关键词 differential subordination differential superordination univalent functions convex functions integral operators differential subordination, differential superordination, univalent functions, convex functions, integral operators
分类号 O172.2 [理学—基础数学]
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参考文献13

  • 1Miller, S. S., Mocanu, P. T.: Differential Subordinations, Theory and Applications, Marcel Dekker, Inc., New York, Basel, 2000.
  • 2Miller, S. S., Mocanu, P. T.: Subordinants of differential superordinations. Complex Var. Theory Appl., 48, 815-826 (2003).
  • 3Shanmugam, T. N., Ramachandran, C., Darus M., et al.: Differential sandwich theorems for some subclasses of analytic functions involving a linear operator. Acta Math. Univ. Comenianae, 74, 287-294 (2007).
  • 4Miller, S. S., Mocanu, P. T., Reade, M. O.: Subordination-preserving integral operators. Trans. Amer. Math. Soc., 283, 605-615 (1984).
  • 5Bulboaca, T.: Integral operators that preserve the subordination. Bull. Korean Math. Soc., 32, 627-636 (1997).
  • 6Bulboaca T.: On a special integral subordination. Indian J. Pure Appl. Math., 28, 361-369 (1997).
  • 7Bulboaca, T.: Modified subordination-preserving integral operators. Pure Math. Appl., 9, 29-35 (1998).
  • 8Bulboaca, T.: A class of superordinatiompreserving integrai operators. Indag. Math. N. S., 13, 301-311 (2002).
  • 9Bulboaca, T.: A class of double subordination-preserving integral operators. Pure Math. Appl., 15, 87 -106 (200a).
  • 10Miller, S. S., Mocanu, P. T.: Differential subordinations and univalent functions. Michigan Math. J., 28, 157-171 (1981).

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Acta Mathematica Sinica,English Series
2010年 第3期

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