A characterization of multiplier sequences for generalized Laguerre bases
Complex Variables
2013-04-23 v2 Classical Analysis and ODEs
Abstract
We give a complete characterization of multiplier sequences for generalized Laguerre bases. We also apply our methods to give a short proof of the characterization of Hermite multiplier sequences achieved by Piotrowski.
Keywords
Cite
@article{arxiv.1210.7151,
title = {A characterization of multiplier sequences for generalized Laguerre bases},
author = {Petter Brändén and Elin Ottergren},
journal= {arXiv preprint arXiv:1210.7151},
year = {2013}
}
Comments
11 pages, revised version to appear in Constr. Approx. Several typos and the proof of Lemma 3.3 corrected