Special non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points.
Classical Analysis and ODEs
2008-02-03 v1
Abstract
Difference calculus compatible with polynomials (i.e., such that the divided difference operator of first order applied to any polynomial must yield a polynomial of lower degree) can only be made on special lattices well known in contemporary calculus. Orthogonal polynomials satisfying difference relations on such lattices are presented. In particular, lattices which are dense on intervals () are considered.
Keywords
Cite
@article{arxiv.math/9502228,
title = {Special non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points.},
author = {Alphonse P. Magnus},
journal= {arXiv preprint arXiv:math/9502228},
year = {2008}
}