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

Murugusundaramoorthy G

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Vijaya K

Vellore Institute of Technology (VIT) is a private university located in&nbsp;Tamil Nadu, India. Founded in 1984, as Vellore Engineering College, the institution offers 20 undergraduate, 34 postgraduate, four integrated and four research programs. It has campuses in Vellore, Amravati, Bhopal and Chennai.

VIT is one of the top ranked private universities in India according to NIRF, THE and QS Rankings.&nbsp;Govt. of India has recognized&nbsp;VIT, Vellore as an&nbsp;Institution of Eminence. This has allowed VIT to take independent quality initiatives and move up in world ranking.

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VIT University

Applied Mathematics

Making use of a Salagean operator, we introduce a new class of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. Among the results presented in this paper including the coeffcient bounds, distortion inequality, and covering property, extreme points, certain inclusion results, convolution properties, and partial sums for this generalized class of functions are discussed.

Fulltext

International Journal of Analysis

Pascu-Type Harmonic Functions with Positive Coefficients Involving Salagean Operator

We define the generalized Dziok-Srivastava operator for harmonic functions and introduce a new subclass of complex valued harmonic functions which are orientation preserving and univalent in the open unit disc. We investigate the coefficient bounds, distortion inequalities and extreme points for this generalized class of functions. © 2010 Pleiades Publishing, Ltd.

Journal	Applied Mathematics
Publisher	Scientific Research Publishing, Inc.
ISSN	2152-7385
Open Access	No