Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 10 (2003) no. 1, pp. 61-75
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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/
@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
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.
