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Daghestan Electronic Mathematical Reports, 2019, Issue 11, Pages 1–10
DOI: https://doi.org/10.31029/demr.11.1 (Mi demr67) 		 
Analogs of the Liouville property for Bessel function series

N. P. Volchkovaa, Vit. V. Volchkovb

a Donetsk National Technical University
b Donetsk National University
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DOI: https://doi.org/10.31029/demr.11.1
Abstract: We study functions given in the form of a series in Bessel's functions of the first kind. The admissible asymptotic behavior of such functions at infinity is founded. As a consequence we obtain an analog of Liouville's theorem for the Fourier-Bessel and Dini developments.
Keywords: cylindrical functions, Liouville property, asymptotic behavior.
Received: 19.12.2018
Revised: 15.05.2019
Accepted: 16.05.2019
Document Type: Article
UDC: 517.444
Language: Russian
Citation: N. P. Volchkova, Vit. V. Volchkov, “Analogs of the Liouville property for Bessel function series”, Daghestan Electronic Mathematical Reports, 2019, no. 11, 1–10
Citation in format AMSBIB
\Bibitem{VolVol19}
\by N.~P.~Volchkova, Vit.~V.~Volchkov
\paper Analogs of the Liouville property for Bessel function series
\jour Daghestan Electronic Mathematical Reports
\yr 2019
\issue 11
\pages 1--10
\mathnet{http://mi.mathnet.ru/demr67}
\crossref{https://doi.org/10.31029/demr.11.1}
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