Kyungpook Mathematical Journal 2015; 55(2): 383-394
Published online June 23, 2015
Copyright © Kyungpook Mathematical Journal.
Certain Subclasses of $k-$Uniformly Starlike and Convex Functions of Order $alpha$ and Type $eta$ with Varying Argument Coefficients
Mohamed Kamal Aouf1, Nanjundan Magesh2, Jagadesan Yamini3
1Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
2P.G. and Research Department of Mathematics, Govt Arts College for Men, Krishnagiri - 635001, India
3Department of Mathematics, Govt First Grade College, Vijayanagar, Bangalore- 560104, Karnataka, India
In this paper, we define two new subclass of $k-$uniformly starlike and convex functions of order $alpha$ type $eta$ with varying argument of coefficients. Further, we obtain coefficient estimates, extreme points, growth and distortion bounds, radii of starlikeness, convexity and results on modified Hadamard products.
Keywords: Univalent functions, convex functions, starlike functions, uniformly convex functions, uniformly starlike functions