Geodesic
Analogs of the Liouville property for Bessel function series
Daghestan Electronic Mathematical Reports, Tome 11 (2019), pp. 1-10

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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. 
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     author = {N. P. Volchkova and Vit. V. Volchkov},
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N. P. Volchkova; Vit. V. Volchkov. Analogs of the Liouville property for Bessel function series. Daghestan Electronic Mathematical Reports, Tome 11 (2019), pp. 1-10. http://geodesic.mathdoc.fr/item/DEMR_2019_11_a0/