Certain Subclasses of k-Uniformly Starlike and Convex Functions of Order α and Type β with Varying Argument Coefficients

• Journal title : Kyungpook mathematical journal
• Volume 55, Issue 2,  2015, pp.383-394
• Publisher : Department of Mathematics, Kyungpook National University
• DOI : 10.5666/KMJ.2015.55.2.383
Title & Authors
Certain Subclasses of k-Uniformly Starlike and Convex Functions of Order α and Type β with Varying Argument Coefficients
AOUF, MOHAMED KAMAL; MAGESH, NANJUNDAN; YAMINI, JAGADESAN;

Abstract
In this paper, we define two new subclass of k-uniformly starlike and convex functions of order $\small{{\alpha}}$ type $\small{{\beta}}$ 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;
Language
English
Cited by
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