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

A. L. Pathak | Zendy; K. K. Dixit | Zendy; R. Agarwal | Zendy

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

Author(s) -

A. L. Pathak,

K. K. Dixit,

R. Agarwal

Publication year - 2012

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2012/416875

Subject(s) - subclass , extreme point , mathematics , class (philosophy) , convolution (computer science) , operator (biology) , distortion (music) , univalent function , harmonic function , harmonic , regular polygon , pure mathematics , convex function , analytic function , mathematical analysis , combinatorics , computer science , geometry , physics , repressor , artificial intelligence , amplifier , chemistry , antibody , biology , biochemistry , quantum mechanics , machine learning , artificial neural network , transcription factor , immunology , gene , computer network , bandwidth (computing)

The purpose of the present paper is to study a certain subclass of harmonic univalent functions associated with Dziok-Srivastava operator. We obtain coefficientconditions, 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

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