Derivations and identities for Kravchuk polynomials
Combinatorics
2014-07-28 v1
Abstract
We introduce the notion of Kravchuk derivations of the polynomial algebra. We prove that any element of the kernel of the derivation gives a polynomial identity satisfied by the Kravchuk polynomials. Also, we prove that any kernel element of the basic Weitzenb\"ok derivations yields a polynomial identity satisfied by the Kravchuk polynomials. We describe the corresponding intertwining maps.
Cite
@article{arxiv.1210.6139,
title = {Derivations and identities for Kravchuk polynomials},
author = {Leonid Bedratyuk},
journal= {arXiv preprint arXiv:1210.6139},
year = {2014}
}
Comments
15 pages