paper

Discrete multiple orthogonal polynomials on shifted lattices

arXiv:1908.11467

Abstract

We introduce a new class of polynomials of multiple orthogonality with respect to the product of classical discrete weights on integer lattices with noninteger shifts. We give explicit representations in the form of the Rodrigues formulas. The case of two weights is described in detail.

16 pages, 5 figures

Discrete multiple orthogonal polynomials on shifted lattices · wovepaper