Geodesic
On strong tracts of subharmonic functions of infinite lower order
I. I. Marchenko1 ; A. Szkibiel1
1Institute of Mathematics University of Szczecin Wielkopolska 15 70-451 Szczecin, Poland
Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 275-284
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

The notion of a strong asymptotic tract for subharmonic functions is defined. Eremenko's value $b(\infty ,u)$ for subharmonic functions is introduced and it is used to provide an exact upper estimate of the number of strong tracts of subharmonic functions of infinite lower order. It is also shown that $b(\infty ,u)\leq \pi $ for subharmonic functions of infinite lower order.
DOI : 10.4064/ap92-3-6
Keywords: notion strong asymptotic tract subharmonic functions defined eremenkos value infty subharmonic functions introduced provide exact upper estimate number strong tracts subharmonic functions infinite lower order shown infty leq subharmonic functions infinite lower order

I. I. Marchenko  1   ; A. Szkibiel  1

1 Institute of Mathematics University of Szczecin Wielkopolska 15 70-451 Szczecin, Poland 
@article{10_4064_ap92_3_6,
     author = {I. I. Marchenko and A. Szkibiel},
     title = {On strong tracts of subharmonic functions
 of infinite lower order},
     journal = {Annales Polonici Mathematici},
     pages = {275--284},
     year = {2007},
     volume = {92},
     number = {3},
     doi = {10.4064/ap92-3-6},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/ap92-3-6/}
}
TY  - JOUR
AU  - I. I. Marchenko
AU  - A. Szkibiel
TI  - On strong tracts of subharmonic functions
 of infinite lower order
JO  - Annales Polonici Mathematici
PY  - 2007
SP  - 275
EP  - 284
VL  - 92
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4064/ap92-3-6/
DO  - 10.4064/ap92-3-6
LA  - en
ID  - 10_4064_ap92_3_6
ER  - 
%0 Journal Article
%A I. I. Marchenko
%A A. Szkibiel
%T On strong tracts of subharmonic functions
 of infinite lower order
%J Annales Polonici Mathematici
%D 2007
%P 275-284
%V 92
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4064/ap92-3-6/
%R 10.4064/ap92-3-6
%G en
%F 10_4064_ap92_3_6
I. I. Marchenko; A. Szkibiel. On strong tracts of subharmonic functions
 of infinite lower order. Annales Polonici Mathematici, Tome 92 (2007) no. 3, pp. 275-284. doi: 10.4064/ap92-3-6

Cité par Sources :