Deformed Complex Hermite Polynomials
Mathematical Physics
2014-10-21 v3 math.MP
Abstract
We study a class of bivariate deformed Hermite polynomials and some of their properties using classical analytic techniques and the Wigner map. We also prove the positivity of certain determinants formed by the deformed polynomials. Along the way we also work out some additional properties of the (undeformed) complex Hermite polynomials and their relationships to the standard Hermite polynomials (of a single real variable).
Cite
@article{arxiv.1410.3908,
title = {Deformed Complex Hermite Polynomials},
author = {S. Twareque Ali and Mourad E. H. Ismail and Nurisya M. Shah},
journal= {arXiv preprint arXiv:1410.3908},
year = {2014}
}
Comments
12 pages