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Matematicheskaya Fizika, Analiz, Geometriya [Mathematical Physics, Analysis, Geometry], 2004, Volume 11, Number 2, Pages 243–248
(Mi jmag203)
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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
Citation:
M. M. Sheremeta, “A remark to the construction of canonical products of minimal growth”, Mat. Fiz. Anal. Geom., 11:2 (2004), 243–248
Linking options:
https://www.mathnet.ru/eng/jmag203 https://www.mathnet.ru/eng/jmag/v11/i2/p243
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Abstract page: | 136 | Full-text PDF : | 61 |
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