$\lambda$-Griffiths polynomials: Bispectrality and biorthogonality
Mathematical Physics
2023-11-07 v1 math.MP
Abstract
We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter . These -Griffiths polynomials are bivariate, bispectral and biorthogonal. For two specific values of the parameter , they become orthogonal. One of the value is related to the usual bivariate Griffiths polynomials, while the second value produces new orthogonal bivariate polynomials.
Cite
@article{arxiv.2311.03256,
title = {$\lambda$-Griffiths polynomials: Bispectrality and biorthogonality},
author = {N. Crampe and L. Frappat and J. Gaboriaud and E. Ragoucy and L. Vinet and M. Zaimi},
journal= {arXiv preprint arXiv:2311.03256},
year = {2023}
}