Two classes of determinants with their matrix entries being polynomial differences are evaluated in closed product expressions. They extend with many free parameters the Vandermonde-like determinant identities associated with the classical root systems.

中文翻译：

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具有由多项式差组成的矩阵项的行列式

在闭积表达式中计算两类行列式，其矩阵项为多项式差。它们使用许多自由参数扩展了与经典根系相关的类 Vandermonde 行列式恒等式。