Discrete multiple orthogonal polynomials on shifted lattices
Classical Analysis and ODEs
2019-09-02 v1
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.
Cite
@article{arxiv.1908.11467,
title = {Discrete multiple orthogonal polynomials on shifted lattices},
author = {Alexander Dyachenko and Vladimir Lysov},
journal= {arXiv preprint arXiv:1908.11467},
year = {2019}
}
Comments
16 pages, 5 figures