Analogs of the Liouville property for Bessel function series

DOI: 10.31029/demr.11.1

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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