Abstract
Watson’s monograph on the theory of Bessel functions notes the unsolved problem of expanding a function in a Fourier–Bessel series when the order of these functions changes from –1 to –1/2. 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 exists.
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Sabitov, K.B. On the Uniform Convergence of the Expansion of a Function in the Fourier–Bessel Range. Russ Math. 66, 79–85 (2022). https://doi.org/10.3103/S1066369X22110068
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DOI: https://doi.org/10.3103/S1066369X22110068