We prove evaluations of Hankel determinants of linear combinations of moments of orthogonal polynomials (or, equivalently, of generating functions for Motzkin paths), thus generalizing known results for Catalan numbers.

中文翻译：

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正交多项式矩的线性组合的汉克尔行列式

我们证明了对正交多项式矩的线性组合（或等效地，Motzkin 路径的生成函数）的 Hankel 行列式的评估，从而推广了加泰罗尼亚数的已知结果。