Generalized second-order partial derivatives of 1/r
Classical Physics
2015-05-19 v2
Abstract
The generalized second-order partial derivatives of 1/r, where r is the radial distance in 3D, are obtained using a result of the potential theory of classical analysis. Some non-spherical regularization alternatives to the standard spherical-regularization expression for the derivatives are derived. The utility of a spheroidal-regularization expression is illustrated on an example from classical electrodynamics.
Cite
@article{arxiv.1009.2480,
title = {Generalized second-order partial derivatives of 1/r},
author = {V Hnizdo},
journal= {arXiv preprint arXiv:1009.2480},
year = {2015}
}
Comments
12 pages; as accepted for publication by European Journal of Physics