Mathematical Physics
[Submitted on 6 Nov 2023
]
Title: $λ$-Griffiths polynomials: Bispectrality and biorthogonality
Title: $λ$-Griffiths多项式：双谱性和双正交性
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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