The single-indexed exceptional Krawtchouk polynomials
Classical Analysis and ODEs
2022-02-01 v1
Abstract
The Darboux transformations of Krawtchouk polynomials are investigated and all possible exceptional Krawtchouk polynomials obtainable from a single-step Darboux transformation are considered. The properties of these exceptional Krawtchouk polynomials including the Diophantine ones and the recurrence relations are obtained.
Cite
@article{arxiv.2201.12359,
title = {The single-indexed exceptional Krawtchouk polynomials},
author = {Hiroshi Miki and Satoshi Tsujimoto and Luc Vinet},
journal= {arXiv preprint arXiv:2201.12359},
year = {2022}
}
Comments
19 pages