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https://hdl.handle.net/10316/11180
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: | https://hdl.handle.net/10316/11180 | Rights: | openAccess |
Appears in Collections: | FCTUC Matemática - Vários |
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File | Description | Size | Format | |
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Diagonal minus tail forms and Lasserre's sufficient conditions.pdf | 103.51 kB | Adobe PDF | View/Open |
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