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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 2, Pages 243–248 (Mi jmag203)  

A remark to the construction of canonical products of minimal growth

M. M. Sheremeta

Department of Mechanics and Mathematics, Ivan Franko Lviv National University, 1 University Str., Lviv, 79000, Ukraine
Abstract: Given a sequence $(a_n)$ of complex numbers, $|a_n|\nearrow+\i$, we construct an entire function $f$ of minimal growth such that $f(a_n)=0$. Similar result is obtained for analytic functions in the unit disk.
Received: 23.04.2003
Bibliographic databases:
Document Type: Article
MSC: 30D50, 30D99
Language: English
Citation: M. M. Sheremeta, “A remark to the construction of canonical products of minimal growth”, Mat. Fiz. Anal. Geom., 11:2 (2004), 243–248
Citation in format AMSBIB
\Bibitem{She04}
\by M.~M.~Sheremeta
\paper A remark to the construction of canonical products of minimal growth
\jour Mat. Fiz. Anal. Geom.
\yr 2004
\vol 11
\issue 2
\pages 243--248
\mathnet{http://mi.mathnet.ru/jmag203}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2083984}
\zmath{https://zbmath.org/?q=an:1076.30032}
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