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On certain analytic univalent functions

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  • B. A. Frasin
  • M. Darus

Abstract

We consider the class of analytic functions B ( α ) to investigate some properties for this class. The angular estimates of functions in the class B ( α ) are obtained. Finally, we derive some interesting conditions for the class of strongly starlike and strongly convex of order α in the open unit disk.

Suggested Citation

  • B. A. Frasin & M. Darus, 2001. "On certain analytic univalent functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 25, pages 1-6, January.
    • Handle: RePEc:hin:jijmms:503414
    DOI: 10.1155/S0161171201004781
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    Cited by:

    1. B. A. Frasin, 2013. "General Integral Operator of Analytic Functions Involving Functions with Positive Real Part," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, January.
    2. Neng Xu, 2013. "Sufficient Conditions and Applications for Carathéodory Functions," Journal of Mathematics, Hindawi, vol. 2013, pages 1-4, January.
    3. Huda Aldweby & Maslina Darus, 2013. "Univalence of a New General Integral Operator Associated with the -Hypergeometric Function," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2013, pages 1-5, March.

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