Geodesic
On the uniform convergence of the expansion of a function in Fourier--Bessel range
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2022), pp. 89-96

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Watson's monograph on the theory of Bessel functions noted the unsolved problem of expanding a function in a Fourier–Bessel series when the order of these functions changes from minus one to minus one second. In this paper, we propose sufficient conditions with respect to the function for which the uniform convergence of the Fourier–Bessel series to a given function for the indicated index values.
Keywords: Fourier–Bessel series
Mots-clés : uniform convergence, sufficient conditions. 
@article{IVM_2022_11_a5,
     author = {K. B. Sabitov},
     title = {On the uniform convergence of the expansion of a function in {Fourier--Bessel} range},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {89--96},
     publisher = {mathdoc},
     number = {11},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2022_11_a5/}
}
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K. B. Sabitov. On the uniform convergence of the expansion of a function in Fourier--Bessel range. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 11 (2022), pp. 89-96. http://geodesic.mathdoc.fr/item/IVM_2022_11_a5/