Some Neumann-Bessel series and the Laplacian on polygons

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.

7 pages, 8 figures

Cited by in corpus (1)

• A note on trigonometric approximations of Bessel functions of the first kind and trigonometric power sums