Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points

[摘要] 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.

[发布日期] 1995-12-29

[效力级别]  Proceedings Paper

[关键词] orthogonal polynomials;difference operators