Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients

Branquinho, Amilcar; García Ardila, Juan Carlos; Marcellán Español, Francisco José

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Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients

Author(s): Branquinho, Amilcar; García Ardila, Juan Carlos; Marcellán Español, Francisco José

Publisher: National Library of Serbia

Issued date: 2020-12-01

Citation: Branquinho, A., García-Ardila, J., C., & Marcellán, F. (2020). Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients. In Applicable Analysis and Discrete Mathematics (Vol. 14, Issue 3, pp. 754–774). National Library of Serbia

ISSN: 1452-8630

DOI: https://doi.org/10.2298/AADM190225051B

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: Acknowledgements. AB acknowledges Centro de Matemática da Universidade de Coimbra (CMUC) UID/MAT/00324/2019, funded by the Portuguese Govern- ment through FCT/MEC and co-funded by the European Regional Development Fund through the Partnership Agreement PT2020. JCGA & FM thanks financial support from the Spanish “Ministerio de Economía y Competitividad” research project MTM2015-65888-C4-2-P, Ortogonalidad y aproximación; teoría y aplicaciones

Project: Gobierno de España. MTM2015-65888-C4-2-P

Keywords: Ratio Asymptotic , Quadrature Formulae , Markov Functions , Matrix Biorthogonal Polynomials , Generalized Chebyshev Polynomials

URI: http://hdl.handle.net/10016/35503

Rights: The authors retain the copyright to their work without restrictions.
Atribución 3.0 España

Abstract:

In this paper we study matrix biorthogonal polynomials sequences that satisfy a nonsymmetric three term recurrence relation with unbounded matrix coefficients. The outer ratio asymptotics for this family of matrix biorthogonal polynomials is derived under quit [+]

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