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A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator

Author

Listed:
  • A. L. Pathak
  • K. K. Dixit
  • R. Agarwal

Abstract

The purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficient conditions, distortion bounds, and extreme points for the above class of harmonic univalent functions belonging to this class and discuss a class preserving integral operator. We also show that class studied in this paper is closed under convolution and convex combination. The results obtained for the class reduced to the corresponding results for several known classes in the literature are briefly indicated.

Suggested Citation

  • A. L. Pathak & K. K. Dixit & R. Agarwal, 2012. "A New Subclass of Harmonic Univalent Functions Associated with Dziok-Srivastava Operator," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 2012, pages 1-10, November.
    • Handle: RePEc:hin:jijmms:416875
    DOI: 10.1155/2012/416875
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