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arXiv · 1306.0794

Characterization theorem for Laguerre-Hahn orthogonal polynomials on non-uniform lattices

Amílcar Branquinho·Maria das Neves Rebocho
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Abstract

It is stated and proved a characterization theorem for Laguerre-Hahn orthogonal polynomials on non-uniform lattices. This theorem proves the equivalence between the Riccati equation for the formal Stieltjes function, linear first-order difference relations for the orthogonal polynomials as well as for the associated polynomials of the first kind, and linear first-order difference relations for the functions of the second kind.

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Amílcar Branquinho, Maria das Neves Rebocho. 2013-06-01. Characterization theorem for Laguerre-Hahn orthogonal polynomials on non-uniform lattices. https://arxiv.org/abs/1306.0794

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