We express the topological expansion of the Jacobi Unitary Ensemble in terms of triple monotone Hurwitz numbers. This completes the combinatorial interpretation of the topological expansion of the classical unitary invariant matrix ensembles. We also provide effective formulæ for generating functions of multipoint correlators of the Jacobi Unitary Ensemble in terms of Wilson polynomials, generalizing the known relations between one point correlators and Wilson polynomials.

中文翻译：

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Jacobi合奏，Hurwitz数和Wilson多项式

我们用三重单调Hurwitz数表示Jacobi ary合乐曲的拓扑扩展。这完成了经典unit不变矩阵集合的拓扑扩展的组合解释。我们还提供了有效的公式，用于根据Wilson多项式生成Jacobi ary合群的多点相关器的函数，从而概括了一个点相关器与Wilson多项式之间的已知关系。