Trigonometric identities inspired by atomic form factor
arXiv:2004.06430 · doi:10.1515/gmj-2019-2083
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.
6 pages, no figures, to be published in Georgian Mathematical Journal