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Some Neumann-Bessel series and the Laplacian on polygons

Published 12 Nov 2020 in math.SP | (2012.08944v1)

Abstract: Several sums of Neumann series with Bessel and trigonometric functions are evaluated, as finite sums of trigonometric functions. They arise from a generalization of the Neumann expansion of the eigenstates of the Laplacian in regular polygons.

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