Title: Algebraic theory of multiple orthogonal polynomials
Authors: Branquinho, A. 
Cotrim, L. 
Moreno, A. Foulquié 
Keywords: Multiple orthogonal polynomials;Hermite-Pad´e approximants;Block tridiagonal operator;Favard type theorem
Issue Date: 2009
Publisher: Centro de Matemática da Universidade de Coimbra
Citation: Pré-Publicações DMUC. 09-08 (2009)
Abstract: In this work we present an algebraic theory of multiple orthogonal polynomials. Our departure point is the three term recurrence relation, with matrix coefficients, satisfied by a sequence of vector multiple orthogonal polynomials. We give some characterizations of multiple orthogonal polynomials including recurrence relations, a Favard type theorem and a Christoffel-Darboux type formulas. An reinterpretation of the problems of Hermite-Pad´e approximation is presented.
URI: http://hdl.handle.net/10316/11180
Rights: openAccess
Appears in Collections:FCTUC Matemática - Vários

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