English

The energy function with respect to the zeros of the exceptional Hermite polynomials

Classical Analysis and ODEs 2016-01-25 v1

Abstract

We examine the energy function with respect to the zeros of exceptional Hermite polynomials. The localization of the eigenvalues of the Hessian is given in the general case. In some special arrangements we have a more precise result on the behavior of the energy function. Finally we investigate the energy function with respect to the regular zeros of the exceptional Hermite polynomials.

Keywords

Cite

@article{arxiv.1601.06138,
  title  = {The energy function with respect to the zeros of the exceptional Hermite polynomials},
  author = {Á. P. Horváth},
  journal= {arXiv preprint arXiv:1601.06138},
  year   = {2016}
}