Special non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points.

Preprint

17 February 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.math/9502228

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 $q-$calculus. Orthogonal polynomials satisfying difference relations on such lattices are presented. In particular, lattices which are dense on intervals ($|q|=1$) are considered.

Keywords

ORTHOGONAL POLYNOMIALS
DIFFERENCE CALCULUS
SPECIAL LATTICES
UNIFORM LATTICE
DISCRETE DENSE
POLYNOMIALS
DENSE SETS
SNUL

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Version 1, 1995-02-17, ArXiv

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