Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters
Classical Analysis and ODEs
2021-04-06 v1
Abstract
We construct new examples of bispectral dual Hahn polynomials, i.e., orthogonal polynomials with respect to certain superposition of Christoffel and Geronimus transforms of the dual Hahn measure and which are also eigenfunctions of a higher order difference operator. The new examples have the novelty that they depend on an arbitrary number of continuous parameters. These are the first examples with this property constructed from the classical discrete families.
Keywords
Cite
@article{arxiv.2104.01187,
title = {Bispectral dual Hahn polynomials with an arbitrary number of continuous parameters},
author = {Antonio J. Duran},
journal= {arXiv preprint arXiv:2104.01187},
year = {2021}
}