Geodesic
New classes of k -uniformly convex and starlike functions with respect to other points
Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1 
C. Selvaraj; K. A. Selvakumaran. New classes of k -uniformly convex and starlike functions with respect
to other points. Acta mathematica Universitatis Comenianae, Tome 78 (2009) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a11/
@article{AMUC_2009_78_1_a11,
     author = {C. Selvaraj and K. A. Selvakumaran},
     title = {New classes of k -uniformly convex and starlike functions with respect
to other points},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2009},
     volume = {78},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a11/}
}
TY  - JOUR
AU  - C. Selvaraj
AU  - K. A. Selvakumaran
TI  - New classes of k -uniformly convex and starlike functions with respect
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JO  - Acta mathematica Universitatis Comenianae
PY  - 2009
VL  - 78
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a11/
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%A K. A. Selvakumaran
%T New classes of k -uniformly convex and starlike functions with respect
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%J Acta mathematica Universitatis Comenianae
%D 2009
%V 78
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%U http://geodesic.mathdoc.fr/item/AMUC_2009_78_1_a11/
%F AMUC_2009_78_1_a11

Voir la notice de l'article provenant de la source Comenius University

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.