Trigonometric identities inspired by atomic form factor
Atomic Physics
2020-09-28 v1 Mathematical Physics
math.MP
Abstract
We prove some trigonometric identities involving Chebyshev polynomials of second kind. The identities were inspired by atomic form factor calculations. Generalizations of these identities, if found, will help to increase the numerical stability of atomic form factors calculations for highly excited states.
Cite
@article{arxiv.2004.06430,
title = {Trigonometric identities inspired by atomic form factor},
author = {Abhijit Sen and Zurab K. Silagadze},
journal= {arXiv preprint arXiv:2004.06430},
year = {2020}
}
Comments
6 pages, no figures, to be published in Georgian Mathematical Journal