Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 53-57
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Georgia Irina Oros. On a nonlinear differential subordination I. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2003), pp. 53-57. http://geodesic.mathdoc.fr/item/BASM_2003_3_a4/
@article{BASM_2003_3_a4,
author = {Georgia Irina Oros},
title = {On a~nonlinear differential {subordination~I}},
journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
pages = {53--57},
year = {2003},
number = {3},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASM_2003_3_a4/}
}
TY - JOUR
AU - Georgia Irina Oros
TI - On a nonlinear differential subordination I
JO - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY - 2003
SP - 53
EP - 57
IS - 3
UR - http://geodesic.mathdoc.fr/item/BASM_2003_3_a4/
LA - en
ID - BASM_2003_3_a4
ER -
%0 Journal Article
%A Georgia Irina Oros
%T On a nonlinear differential subordination I
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2003
%P 53-57
%N 3
%U http://geodesic.mathdoc.fr/item/BASM_2003_3_a4/
%G en
%F BASM_2003_3_a4
We find conditions on the complex-valued functions $A,B,C,D$ in the unit disc $U$ such that the differential inequality $$ |A(z)z^2 p''(z)+B(z)p^2(z)+C(z)p(z)+D(z)|$$ implies $|p(z)|$, where $p$ is analytic in $U$, with $p(0)=0$.
