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Preprints, Working Papers, ... Year : 2024

$\lambda$-Griffiths polynomials: Bispectrality and biorthogonality

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.

Dates and versions

hal-04439859 , version 1 (05-02-2024)

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N. Crampe, L. Frappat, J. Gaboriaud, E. Ragoucy, L. Vinet, et al.. $\lambda$-Griffiths polynomials: Bispectrality and biorthogonality. 2024. ⟨hal-04439859⟩
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