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arXiv · 2009.14475

Combinatorics of orthogonal polynomials of type $R_I$

Jang Soo Kim·Dennis Stanton
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Abstract

A combinatorial theory for type $R_I$ orthogonal polynomials is given. The ingredients include weighted generalized Motzkin paths, moments, continued fractions, determinants, and histories. Several explicit examples in the Askey scheme are given.

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Jang Soo Kim, Dennis Stanton. 2022-09-30. Combinatorics of orthogonal polynomials of type $R_I$. https://arxiv.org/abs/2009.14475

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