Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials
Classical Analysis and ODEs
2014-09-17 v1
Abstract
In this paper we prove in a constructing way that exceptional Charlier, Meixner, Hermite and Laguerre polynomials satisfy higher order recurrence relations. Our conjecture is that the recurrence relations provided in this paper have minimal order.
Keywords
Cite
@article{arxiv.1409.4697,
title = {Higher order recurrence relation for exceptional Charlier, Meixner, Hermite and Laguerre orthogonal polynomials},
author = {Antonio J. Durán},
journal= {arXiv preprint arXiv:1409.4697},
year = {2014}
}
Comments
arXiv admin note: text overlap with arXiv:1310.4658