Novel distributional Laplacians and a Coulomb-gauge problem
Classical Physics
2025-09-03 v1 Mathematical Physics
math.MP
Abstract
Novel distributional Laplacians of an arsinh function and a related logarithm function are derived. The method used to establish the former result is employed in a calculation of the gauge transformation function for the case of a uniformly moving point charge.
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Cite
@article{arxiv.2509.00282,
title = {Novel distributional Laplacians and a Coulomb-gauge problem},
author = {V. Hnizdo and G. Vaman},
journal= {arXiv preprint arXiv:2509.00282},
year = {2025}
}
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8 pages