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arXiv · 2311.03256

$\lambda$-Griffiths polynomials: Bispectrality and biorthogonality

N. Crampe·L. Frappat·J. Gaboriaud·E. Ragoucy·L. Vinet·M. Zaimi
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Abstract

We introduce a generalization of bivariate Griffiths polynomials depending on an additional parameter $\lambda$. These $\lambda$-Griffiths polynomials are bivariate, bispectral and biorthogonal. For two specific values of the parameter $\lambda$, they become orthogonal. One of the value is related to the usual bivariate Griffiths polynomials, while the second value produces new orthogonal bivariate polynomials.

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N. Crampe, L. Frappat, J. Gaboriaud, E. Ragoucy, L. Vinet, M. Zaimi. 2023-11-06. $\lambda$-Griffiths polynomials: Bispectrality and biorthogonality. https://arxiv.org/abs/2311.03256

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