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Title: Characterization theorem for classical orthogonal polynomials on non-uniform lattices: The functional approach
Authors: Foupouagnigni, MamaKenfack Nangho, MauriceMboutngam, Salifou
???metadata.dc.subject.ddc???: 510 - Mathematik (Mathematics)
Issue Date: 2010
Series/Report no.: Mathematische Schriften Kassel10, 04
Abstract: Using the functional approach, we state and prove a characterization theorem for classical orthogonal polynomials on non-uniform lattices (quadratic lattices of a discrete or a q-discrete variable) including the Askey-Wilson polynomials. This theorem proves the equivalence between seven characterization properties, namely the Pearson equation for the linear functional, the second-order divided-difference equation, the orthogonality of the derivatives, the Rodrigues formula, two types of structure relations,and the Riccati equation for the formal Stieltjes function.
URI: urn:nbn:de:hebis:34-2010083034418
Appears in Collections:Mathematische Schriften Kassel

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