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A New Class of Analytic Functions Defined by Using Salagean Operator

Author

Listed:
  • R. M. El-Ashwah
  • M. K. Aouf
  • A. A. M. Hassan
  • A. H. Hassan

Abstract

We derive some results for a new class of analytic functions defined by using Salagean operator. We give some properties of functions in this class and obtain numerous sharp results including for example, coefficient estimates, distortion theorem, radii of star-likeness, convexity, close-to-convexity, extreme points, integral means inequalities, and partial sums of functions belonging to this class. Finally, we give an application involving certain fractional calculus operators that are also considered.

Suggested Citation

  • R. M. El-Ashwah & M. K. Aouf & A. A. M. Hassan & A. H. Hassan, 2013. "A New Class of Analytic Functions Defined by Using Salagean Operator," International Journal of Analysis, Hindawi, vol. 2013, pages 1-10, February.
    • Handle: RePEc:hin:ijanal:153128
    DOI: 10.1155/2013/153128
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    References listed on IDEAS

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    1. Saeid Shams & S. R. Kulkarni & Jay M. Jahangiri, 2004. "Classes of uniformly starlike and convex functions," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2004, pages 1-3, January.
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