A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions

Abstract

We introduce a new class of complex valued harmonic functions associated with Wright hypergeometric functions which are orientation preserving and univalent in the open unit disc. Further we define, Wright generalized operator on harmonic function and investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.

We introduce a new class of complex valued harmonic functions associated with Wright hypergeometric functions which are orientation preserving and univalent in the open unit disc. Further we define, Wright generalized operator on harmonic function and investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions.

Keywords

Harmonic Univalent Starlike Functions, Harmonic Convex Functions, Wright Hypergeometric Functions, Raina-Dziok Operator, Distortion Bounds, Extreme Points

Harmonic Univalent Starlike Functions, Harmonic Convex Functions, Wright Hypergeometric Functions, Raina-Dziok Operator, Distortion Bounds, Extreme Points

Cite this paper

nullG. Murugusundaramoorthy and K. Vijaya, "A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions,"*Applied Mathematics*, Vol. 1 No. 2, 2010, pp. 87-93. doi: 10.4236/am.2010.12011.

nullG. Murugusundaramoorthy and K. Vijaya, "A Subclass of Harmonic Functions Associated with Wright’s Hypergeometric Functions,"

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