An invariant class of wave packets for the Wigner transform

Generating function and a Rodrigues formula for the polynomials in d-dimensional semiclassical wave packets

“…These results have also been proven from a completely different point of view by Helge Dietert, Johannes Keller, and Stephanie Troppmann. See Lemma 3 and Section 3 (particularly Proposition 16) and formula (13) of [1]. See also [3].…”