Geodesic
An Integral Univalent Operator
Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2 
D. Breaz; N. Breaz. An Integral Univalent Operator. Acta mathematica Universitatis Comenianae, Tome 76 (2007) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a0/
@article{AMUC_2007_76_2_a0,
     author = {D. Breaz and N. Breaz},
     title = {An {Integral} {Univalent} {Operator}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2007},
     volume = {76},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a0/}
}
TY  - JOUR
AU  - D. Breaz
AU  - N. Breaz
TI  - An Integral Univalent Operator
JO  - Acta mathematica Universitatis Comenianae
PY  - 2007
VL  - 76
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a0/
ID  - AMUC_2007_76_2_a0
ER  - 
%0 Journal Article
%A D. Breaz
%A N. Breaz
%T An Integral Univalent Operator
%J Acta mathematica Universitatis Comenianae
%D 2007
%V 76
%N 2
%U http://geodesic.mathdoc.fr/item/AMUC_2007_76_2_a0/
%F AMUC_2007_76_2_a0

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

In this paper we consider the class of univalent functions defined by the condition |( z 2 f '( z ))/( f 2 ( z ))- 1| <1, z Î U , where f ( z ) = z + a 2 z 2 + 1⁄4 is an analytic function in the unit disc U = { z Î C : | z | < 1}. We present univalence conditions for the operator Ga, n(z) = ( (n(a -1) + 1) z ò 0 g1a - 1 (t) 1⁄4 gna - 1(t) dt ) 1/(n(a -1) + 1).