Fourier Transform of some irrational integrands
Classical Analysis and ODEs
2019-12-17 v1 Mathematical Physics
math.MP
Abstract
Fourier sine transforms containing irrational integrands are presented. Explicit closed form expressions are shown to be related to Lommel functions and in special cases to the Fresnel integrals. Such integrals arise in the semi-classical theory of the Chemical Potential of the atomic elements.
Cite
@article{arxiv.1912.06885,
title = {Fourier Transform of some irrational integrands},
author = {Bernard J. Laurenzi},
journal= {arXiv preprint arXiv:1912.06885},
year = {2019}
}