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

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Published: Dec 31, 2011
DOI: https://doi.org/10.5556/j.tkjm.42.2011.231
Keywords:
Harmonic univalent starlike functions Dziok-Srivastava operator Distortion bounds Extreme points Convolution.on

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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.

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.

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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
Issue
Vol. 42 No. 4 (2011)
Section
Papers
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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