p. 103 - 114 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. PDF Compressed Postscript Version to read ISSN 0862-9544 (Printed edition) Faculty of Mathematics, Physics and Informatics Comenius University 842 48 Bratislava, Slovak Republic Telephone: + 421-2-60295111 Fax: + 421-2-65425882 e-Mail: amuc@fmph.uniba.sk Internet: www.iam.fmph.uniba.sk/amuc © 2009, ACTA MATHEMATICA UNIVERSITATIS COMENIANAE |