Translation operator with exceptional Laguerre polynomials
Classical Analysis and ODEs
2018-07-18 v2
Abstract
We extend the notion of general translation operator to exceptional Laguerre polynomials. To this we investigate the associated singular hyperbolic Cauchy problem. We derive a maximum principle with respect to this Cauchy problem and applying it we determine the norm of the translation operator. As an application we give Nikol'skii inequalities with respect to exceptional Laguerre polynomials.
Cite
@article{arxiv.1803.05516,
title = {Translation operator with exceptional Laguerre polynomials},
author = {Á. P. Horváth},
journal= {arXiv preprint arXiv:1803.05516},
year = {2018}
}
Comments
23 pages