[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2013.53.3.467

New Subclasses of Harmonic Starlike and Convex Functions

Porwal, Saurabh (Department of Mathematics, U. I. E. T. Campus, C. S. J. M. University)
Dixit, Kaushal Kishore (Department of Engineering Mathematics, Gwalior Institute of Information Technology)

Publication Information

Kyungpook Mathematical Journal / v.53, no.3, 2013 , pp. 467-478 More about this Journal

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 $V_H({\beta})$ and $U_H({\beta})$ . 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;

Citations & Related Records

Reference

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