New Subclasses of Harmonic Starlike and Convex Functions

• Journal title : Kyungpook mathematical journal
• Volume 53, Issue 3,  2013, pp.467-478
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2013.53.3.467
Title & Authors
New Subclasses of Harmonic Starlike and Convex Functions
Porwal, Saurabh; Dixit, Kaushal Kishore;

Abstract
The purpose of the present paper is to establish some interesting results involving coefficient conditions, extreme points, distortion bounds and covering theorems for the classes $\small{V_H({\beta})}$ and $\small{U_H({\beta})}$. Further, various inclusion relations are also obtained for these classes. We also discuss a class preserving integral operator and show that these classes are closed under convolution and convex combinations.
Keywords
Harmonic;analytic;univalent;starlike and convex functions;
Language
English
Cited by
1.
Pascu-Type Harmonic Functions with Positive Coefficients Involving Salagean Operator, International Journal of Analysis, 2014, 2014, 1
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