Geodesic
On the growth of entire generating functions of multiply positive sequences
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 61-75 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper deals with the class of entire generating functions of $k$-times positive (by Fecete, Pólya, Schoenberg) sequences of coefficients. For all integers $k$, $1\le k<\infty$, we give the exhaustive description of the growth and trigonomertical around zero indicators of the above functions. 
@article{JMAG_2003_10_1_a5,
     author = {O. M. Katkova},
     title = {On the growth of entire generating functions of multiply positive sequences},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {61--75},
     year = {2003},
     volume = {10},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a5/}
}
TY  - JOUR
AU  - O. M. Katkova
TI  - On the growth of entire generating functions of multiply positive sequences
JO  - Žurnal matematičeskoj fiziki, analiza, geometrii
PY  - 2003
SP  - 61
EP  - 75
VL  - 10
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a5/
LA  - en
ID  - JMAG_2003_10_1_a5
ER  - 
%0 Journal Article
%A O. M. Katkova
%T On the growth of entire generating functions of multiply positive sequences
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2003
%P 61-75
%V 10
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a5/
%G en
%F JMAG_2003_10_1_a5
O. M. Katkova. On the growth of entire generating functions of multiply positive sequences. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 61-75. http://geodesic.mathdoc.fr/item/JMAG_2003_10_1_a5/