Integral and Series Representations of the Dirac Delta Function
Classical Analysis and ODEs
2013-03-11 v1
Abstract
Mathematical justifications are given for several integral and series representations of the Dirac delta function which appear in the physics literature. These include integrals of products of Airy functions, and of Coulomb wave functions; they also include series of products of Laguerre polynomials and of spherical harmonics. The methods used are essentially based on the asymptotic behavior of these special functions.
Cite
@article{arxiv.1303.1943,
title = {Integral and Series Representations of the Dirac Delta Function},
author = {Y. T. Li and R. Wong},
journal= {arXiv preprint arXiv:1303.1943},
year = {2013}
}
Comments
19 pages, 1 figure