Matematičeskie zametki, Tome 14 (1973) no. 5, pp. 609-614
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G. V. Badalyan. A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane. Matematičeskie zametki, Tome 14 (1973) no. 5, pp. 609-614. http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a0/
@article{MZM_1973_14_5_a0,
author = {G. V. Badalyan},
title = {A modification of the uniqueness criterion for the solution of the {Watson} problem for a half-plane},
journal = {Matemati\v{c}eskie zametki},
pages = {609--614},
year = {1973},
volume = {14},
number = {5},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a0/}
}
TY - JOUR
AU - G. V. Badalyan
TI - A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane
JO - Matematičeskie zametki
PY - 1973
SP - 609
EP - 614
VL - 14
IS - 5
UR - http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a0/
LA - ru
ID - MZM_1973_14_5_a0
ER -
%0 Journal Article
%A G. V. Badalyan
%T A modification of the uniqueness criterion for the solution of the Watson problem for a half-plane
%J Matematičeskie zametki
%D 1973
%P 609-614
%V 14
%N 5
%U http://geodesic.mathdoc.fr/item/MZM_1973_14_5_a0/
%G ru
%F MZM_1973_14_5_a0
It is proved that a known theorem yielding the solution of the Watson problem for a half-plane in terms of the Ostrovskii function remains valid if the Ostrovskii function $T(r)=\sup\limits_{n\geqslant0}r^n/m_n$ is replaced by the function $\widetilde{T}(r)=\sup\limits_{r\geqslant x>0}r^x/m(x)$, where for $x\in[n, n+1)$ the function $m(x)=m_n$, or by the function $T^*(r)=\sup\limits_{r\geqslant n\geqslant0}r^n/m_n$.
