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Izvestiya: Mathematics, 2020, Volume 84, Issue 1, Pages 186–207
DOI: https://doi.org/10.1070/IM8686 (Mi im8686) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On a strengthening of certain theorems of Gelfond on the integer-valuedness of analytic functions

A. Y. Yanchenko

National Research University "Moscow Power Engineering Institute"
English version PDF (500 kB) Citations (1) Russian version article
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DOI: https://doi.org/10.1070/IM8686
Abstract: We consider entire functions of finite order (greater than or equal to 1) which take rational integer values at the points of a rather general discrete set. We show that under certain conditions all such functions can only be exponential polynomials of a special form.
Keywords: entire functions of finite order, discrete set, exponential polynomials.
Received: 25.04.2017
Revised: 24.09.2019
Bibliographic databases:
Document Type: Article
UDC: 511.6+517.547.22
PACS: УДК 511.4
MSC: Primary 30D15; Secondary 30D20, 11J99
Language: English
Original paper language: Russian
Citation: A. Y. Yanchenko, “On a strengthening of certain theorems of Gelfond on the integer-valuedness of analytic functions”, Izv. Math., 84:1 (2020), 186–207
Citation in format AMSBIB
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\paper On a~strengthening of~certain theorems of~Gelfond on the integer-valuedness of~analytic functions
\jour Izv. Math.
\yr 2020
\vol 84
\issue 1
\pages 186--207
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  • https://doi.org/10.1070/IM8686
  • https://www.mathnet.ru/eng/im/v84/i1/p207
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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