On independence of characteristics of asymptotic behavior of entire functions
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 220-223
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It is known [6, Ch. 3, Theorem 18] that using any total family of asymptotic characteristics, we have a possibility to learn whether an entire function of finite order is a function of completely regular growth. However, the main result of this paper shows that all these characteristics do not give a possibility to know whether a function has an $H$-multiplicator [4].
@article{JMAG_2002_9_2_a6,
author = {V. S. Azarin},
title = {On independence of characteristics of asymptotic behavior of entire functions},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {220--223},
year = {2002},
volume = {9},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a6/}
}
V. S. Azarin. On independence of characteristics of asymptotic behavior of entire functions. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 9 (2002) no. 2, pp. 220-223. http://geodesic.mathdoc.fr/item/JMAG_2002_9_2_a6/