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JOURNALS // Zhurnal Matematicheskoi Fiziki, Analiza, Geometrii [Journal of Mathematical Physics, Analysis, Geometry] // Archive
Mat. Fiz. Anal. Geom., 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.

MSC: 30D50, 30D99

Received: 23.04.2003

Language: English



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