Highly Influenced

@article{Drake2009TheCO, title={The combinatorics of associated Hermite polynomials}, author={Dan Drake}, journal={Eur. J. Comb.}, year={2009}, volume={30}, pages={1005-1021} }

- Published 2009 in Eur. J. Comb.
DOI:10.1016/j.ejc.2008.05.009

We develop a combinatorial model of the associated Hermite polynomials and their moments, and prove their orthogonality with a sign-reversing involution. We find combinatorial interpretations of the moments as complete matchings, connected complete matchings, oscillating tableaux, and rooted maps and show weight-preserving bijections between these objects. Several identities, linearization formulas, and a second combinatorial model are also derived. Résumé. Nous développons un modèle… CONTINUE READING