On some integral transforms of Coulomb functions related to three-dimensional proper Lorentz group
Classical Analysis and ODEs
2019-04-09 v1
Abstract
Considering the relationship between two bases in representation space of the three-dimensional proper Lorentz group, we derive some formulas with integrals involving Coulomb wave functions, which can be considered as Fourier, Mellin, -Bessel, Hankel and Mehler-Fock transforms of these functions.
Keywords
Cite
@article{arxiv.1904.03729,
title = {On some integral transforms of Coulomb functions related to three-dimensional proper Lorentz group},
author = {Ilya Shilin},
journal= {arXiv preprint arXiv:1904.03729},
year = {2019}
}