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New classes of k-uniformly convex and starlike functions
with respect to other points
C. Selvaraj and K. A. Selvakumaran
Received: January 11, 2008; Accepted: April 08, 2008
Abstract. In this paper we introduce new subclasses of k-uniformly convex and starlike functions with respect to other points. We provide necessary and sufficient conditions, coefficient estimates, distortion bounds, extreme points and radii of close-to-convexity, starlikeness and convexity for these classes. We also obtain integral means inequalities with the extremal functions for these classes.
Keywords: Regular, univalent, starlike with respect to symmetric points , integral means, subordination.
AMS Subject classification: Primary: 30C45; Secondary: 30C50, 30C75.
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