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JOURNALS // Matematicheskii Sbornik // Archive

Mat. Sb., 2011 Volume 202, Number 12, Pages 137–156 (Mi sm7771)

This article is cited in 9 papers

Expanding the reciprocal of an entire function with zeros in a strip in a Kreǐn series

V. B. Sherstyukov

Moscow Engineering Physics Institute (National Nuclear Research University)

Abstract: If $L(\lambda)$ is an entire function with only simple zeros, all of which lie in some strip, the problem of representing $L^{-1}(\lambda)$ by a partial fraction series is solved.
Bibliography: 26 titles.

Keywords: entire function, partial fraction series.

UDC: 517.547.2

MSC: 30B50, 30D10

Received: 06.07.2010 and 01.11.2010

DOI: 10.4213/sm7771


 English version:
Sbornik: Mathematics, 2011, 202:12, 1853–1871

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© Steklov Math. Inst. of RAS, 2025