Some Neumann-Bessel series and the Laplacian on polygons
نویسندگان
چکیده
Several sums of Neumann series with Bessel and trigonometric functions are evaluated, as finite functions. They arise from a generalization the expansion eigenstates Laplacian in regular polygons. A simple accurate approximation J0(x) is found on interval [0, 2].
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 2021
ISSN: ['0022-2488', '1527-2427', '1089-7658']
DOI: https://doi.org/10.1063/5.0037872