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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 5, Pages 995–1007 (Mi smj1784)  
This article is cited in 8 scientific papers (total in 8 papers)

Entire functions with a given sequence of zeros and of regular behavior on the real axis. I

A. M. Gaisin, D. I. Sergeeva

Institute of Mathematics with Computing Centre, Ufa Science Centre, Russian Academy of Sciences
Full-text PDF (318 kB) Citations (8)
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Abstract: We demonstrate that if a sequence of positive numbers increasing to infinity has $S$-density then it can be prolonged to some sequence that is the zero set of the Weierstrass product of regular behavior on the real axis.
Keywords: Weierstrass product, Cartwright class.
Received: 30.05.2005
Revised: 14.11.2006
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 5, Pages 798–808
DOI: https://doi.org/10.1007/s11202-007-0082-5
Bibliographic databases:
UDC: 517.53
Language: Russian
Citation: A. M. Gaisin, D. I. Sergeeva, “Entire functions with a given sequence of zeros and of regular behavior on the real axis. I”, Sibirsk. Mat. Zh., 48:5 (2007), 995–1007; Siberian Math. J., 48:5 (2007), 798–808
Citation in format AMSBIB
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    Cycle of papers
    This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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