Geodesic
Combinatorics of Jacobi-Configurations II: A Rational Approximation via Matching Polynomials
Séminaire lotharingien de combinatoire, Tome 13 (1985) Cet article a éte moissonné depuis la source Séminaire Lotharingien de Combinatoire website

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The notion of 'order' for Jacobi-configurations has been introduced in part I of this article. In this second part the exponential generating function for Jacobi-configurations of bounded order, i.e. the analog of the classical generating function of Jacobi's for his polynomials, Is derived. This result (and its proof) makes use of certain matching polynomials and their combinatorial properties. These matching polynomials are close relatives of the Tchebycheff-polynomials.

The main part of the results of this paper have appeared in the article "On the solutions of a matrix equation," Boll. Un. Mat. Ital. 3-A (1989), 137-145. 
@article{SLC_1985_13_a12,
     author = {Volker Strehl},
     title = {Combinatorics of {Jacobi-Configurations} {II:} {A} {Rational} {Approximation} via {Matching} {Polynomials}},
     journal = {S\'eminaire lotharingien de combinatoire},
     year = {1985},
     volume = {13},
     url = {http://geodesic.mathdoc.fr/item/SLC_1985_13_a12/}
}
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Volker Strehl. Combinatorics of Jacobi-Configurations II: A Rational Approximation via Matching Polynomials. Séminaire lotharingien de combinatoire, Tome 13 (1985). http://geodesic.mathdoc.fr/item/SLC_1985_13_a12/