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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2002, Volume 9, Number 2, Pages 220–223 (Mi jmag283)  
On independence of characteristics of asymptotic behavior of entire functions

V. S. Azarin

Department of Mathematics, Bar-Ilan University, Ramat-Gan, 52900, Israel
Full-text PDF (175 kB)
Abstract: 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].
Received: 11.12.2001
Bibliographic databases:
Document Type: Article
MSC: 30D20, 31A05
Language: English
Citation: V. S. Azarin, “On independence of characteristics of asymptotic behavior of entire functions”, Mat. Fiz. Anal. Geom., 9:2 (2002), 220–223
Citation in format AMSBIB
\Bibitem{Aza02}
\by V.~S.~Azarin
\paper On independence of characteristics of asymptotic behavior of entire functions
\jour Mat. Fiz. Anal. Geom.
\yr 2002
\vol 9
\issue 2
\pages 220--223
\mathnet{http://mi.mathnet.ru/jmag283}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1964066}
\zmath{https://zbmath.org/?q=an:1073.30018}
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