Generalized Hermite polynomials
Quantum Algebra
2007-05-23 v1 Classical Analysis and ODEs
Abstract
The new method for obtaining a variety of extensions of Hermite polynomials is given. As a first example a family of orthogonal polynomial systems which includes the generalized Hermite polynomials is considered. Apparently, either these polynomials satisfy the differential equation of the second order obtained in this work or there is no differential equation of a finite order for these polynomials.
Cite
@article{arxiv.math/0101216,
title = {Generalized Hermite polynomials},
author = {Vadim V. Borzov},
journal= {arXiv preprint arXiv:math/0101216},
year = {2007}
}
Comments
15 pages, no figures