On Legendre Multiplier Sequences
Complex Variables
2013-10-18 v1
Abstract
In this paper we give a complete characterization of linear, quadratic, and geometric Legendre multiplier sequences. We also prove that all Legendre multiplier sequences must be Hermite multiplier sequences, and describe the relationship between the Legendre and generalized Laguerre multiplier sequences. We conclude with a list of open questions for further research.
Cite
@article{arxiv.1108.4662,
title = {On Legendre Multiplier Sequences},
author = {Kelly Blakeman and Emily Davis and Tamas Forgacs and Katherine Urabe},
journal= {arXiv preprint arXiv:1108.4662},
year = {2013}
}
Comments
12 pages, 5 figures