A subclass of harmonic functions with negative coefficients defined by Dziok-Srivastava operator

  • G. Murugusundaramoorthy School of Advanced Sciences and Humanities, V I T University, Vellore -632014,T.N.,India.
  • K. Vijaya School of Advanced Sciences and Humanities, V I T University, Vellore -632014,T.N.,India.
  • Basem Aref Frasin Department ofMathematics, Al al-Bayt University, P.O. Box: 130095 Mafraq, Jordan.
Keywords: Harmonic univalent starlike functions, Dziok-Srivastava operator, Distortion bounds, Extreme points, Convolution.on

Abstract

Making use of the Dziok-Srivastava operator, we introduce the class $% \mathcal{R}_{\overline{\mathcal{H}}}^{p,q}([\alpha _1],\lambda ,\gamma )$ of complex valued harmonic functions. We investigate the coefficient bounds, distortion inequalities , extreme points and inclusion results for this class.

Author Biographies

G. Murugusundaramoorthy, School of Advanced Sciences and Humanities, V I T University, Vellore -632014,T.N.,India.

Department of Math.

Rank. Prof.

K. Vijaya, School of Advanced Sciences and Humanities, V I T University, Vellore -632014,T.N.,India.
Department of Math
Basem Aref Frasin, Department ofMathematics, Al al-Bayt University, P.O. Box: 130095 Mafraq, Jordan.

Department of Mathematics

rank: Associate Prof

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Published
2011-12-31
How to Cite
Murugusundaramoorthy, G., Vijaya, K., & Frasin, B. A. (2011). A subclass of harmonic functions with negative coefficients defined by Dziok-Srivastava operator. Tamkang Journal of Mathematics, 42(4), 463-473. https://doi.org/10.5556/j.tkjm.42.2011.231
Section
Papers