A deformation of Hermite polynomials
Mekhfi, M.
arXiv, 0010003 / Harvested from arXiv
Text on arXiv
We propose and study the properties of a set of polynomials $M_{n\alpha, H\ }^{s}(z)$, $C_{n\alpha, H}^{s}(z)$ $W_{n\alpha, H}^{s}(z)$ with $n,s\in N$ $;\alpha =\pm 1;$and where $H$ stands for Hermite ; the ''root '' polynomial >.These polynomials are obtained from a deformation of Hermite polynomials $H_{n}(z).$The structure underlying the deformation seems quite general and not only restricted to Hermite polynomials.
Publié le : 2000-10-02
Classification:  Mathematical Physics,  Mathematics - Classical Analysis and ODEs,  Mathematics - Functional Analysis,  33C45,  34A35 
@article{0010003,
     author = {Mekhfi, M.},
     title = {A deformation of Hermite polynomials},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0010003}
}

Mekhfi, M. A deformation of Hermite polynomials. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0010003/