Sufficient and necessary coefficient bounds, extreme points of closed convex hulls, and distortion theorems are determined for a family of harmonic starlike functions of complex order involving Sălăgean-type q-differential operators. © 2020, Hacettepe University. All rights reserved.

Murugusundaramoorthy G

Department of Mathematics

School of Advanced Sciences

Vellore Campus

Vijaya K

Jay Jahangiri

Kaliappan Vijaya

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

Hacettepe Journal of Mathematics and Statistics

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	Hacettepe Journal of Mathematics and Statistics
Publisher	Hacettepe Journal of Mathematics and Statistics
ISSN	2651-477X
Open Access	0