Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients

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

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dc.contributor.author	Branquinho, Amilcar
dc.contributor.author	García Ardila, Juan Carlos
dc.contributor.author	Marcellán Español, Francisco José
dc.date.accessioned	2022-07-20T10:18:31Z
dc.date.available	2022-07-20T10:18:31Z
dc.date.issued	2020-12-01
dc.identifier.bibliographicCitation	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
dc.identifier.issn	1452-8630
dc.identifier.uri	http://hdl.handle.net/10016/35503
dc.description.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 quite general assumptions. Some illustrative examples are considered.
dc.description.sponsorship	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
dc.format.extent	20
dc.language.iso	eng
dc.publisher	National Library of Serbia
dc.rights	The authors retain the copyright to their work without restrictions.
dc.rights	Atribución 3.0 España
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/es/
dc.subject.other	Ratio Asymptotic
dc.subject.other	Quadrature Formulae
dc.subject.other	Markov Functions
dc.subject.other	Matrix Biorthogonal Polynomials
dc.subject.other	Generalized Chebyshev Polynomials
dc.title	Ratio asymptotics for biorthogonal matrix polynomials with unbounded recurrence coefficients
dc.type	article
dc.subject.eciencia	Matemáticas
dc.identifier.doi	https://doi.org/10.2298/AADM190225051B
dc.rights.accessRights	openAccess
dc.relation.projectID	Gobierno de España. MTM2015-65888-C4-2-P
dc.type.version	publishedVersion
dc.identifier.publicationfirstpage	754
dc.identifier.publicationissue	3
dc.identifier.publicationlastpage	774
dc.identifier.publicationtitle	Applicable Analysis and Discrete Mathematics
dc.identifier.publicationvolume	14
dc.identifier.uxxi	AR/0000027911
dc.contributor.funder	Ministerio de Economía y Competitividad (España)
dc.affiliation.dpto	UC3M. Departamento de Matemáticas
dc.affiliation.grupoinv	UC3M. Grupo de Investigación: Análisis Aplicado