Some Neumann-Bessel series and the Laplacian on polygons
Spectral Theory
2021-05-19 v1
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.
Cite
@article{arxiv.2012.08944,
title = {Some Neumann-Bessel series and the Laplacian on polygons},
author = {Luca Guido Molinari},
journal= {arXiv preprint arXiv:2012.08944},
year = {2021}
}
Comments
7 pages, 8 figures