Some Neumann-Bessel series and the Laplacian on polygons

DOI10.1063/5.0037872zbMath1466.35096arXiv2012.08944OpenAlexW3111903162MaRDI QIDQ4991022

Luca Guido Molinari

Publication date: 2 June 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.08944

zbMATH Keywords

eigenfunctionsLaplacian

Mathematics Subject Classification ID

Completeness of eigenfunctions and eigenfunction expansions in context of PDEs (35P10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Uses Software

• DLMF

Cites Work

• Laplace eigenvalues on regular polygons: a series in \(1/N\)
• Generalized series of Bessel functions
• On the ground state of regular polygonal billiards
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