Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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CLASS-MAPPING PROPERTIES OF THE HOHLOV OPERATOR

  • Mishra, Akshaya K. (DEPARTMENT OF MATHEMATICS BERHAMPUR UNIVERSITY) ;
  • Panigrahi, Trailokya (DEPARTMENT OF MATHEMATICS TEMPLECITY INSTITUTE OF TECHNOLOGY AND ENGINEERING F/12, IID CENTRE KNOWLEDGE CAMPUS)
  • Received : 2009.05.10
  • Published : 2011.01.31
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Abstract

In the present paper sufficient conditions, in terms of hyper-geometric inequalities, are found so that the Hohlov operator preserves a certain subclass of close-to-convex functions (denoted by $R^{\tau}$ (A, B)) and transforms the classes consisting of k-uniformly convex functions, k-starlike functions and univalent starlike functions into $\cal{R}^{\tau}$ (A, B).

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References

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