Original Article
Kyungpook Mathematical Journal 2013; 53(3): 467-478
Published online September 23, 2013
Copyright © Kyungpook Mathematical Journal.
New Subclasses of Harmonic Starlike and Convex Functions
Saurabh Porwal1, Kaushal Kishore Dixit2
1 Department of Mathematics, U. I. E. T. Campus, C. S. J. M. University, Kanpur-208024, (U. P.), India
2 Department of Engineering Mathematics, Gwalior Institute of Information Technology, Gwalior-474015, (M. P.), India
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 $V_H(eta)$ and $U_H(eta)$. 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