Asymptotic behaviour of Sobolev orthogonal polynomials on the unit circle
- Kenier Castillo,
- Luis E. Garza,
- Francisco Marcellán
- Universidad Carlos III de Madrid,
- Universidad de Colima
Research Output: Contribution to journal Article Peer-review
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0.48
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3
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56
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5
Abstract
In this contribution, we deal with analytic properties of sequences of polynomials orthogonal with respect to a Sobolev-type inner product, where μ is a non-trivial probability measure supported on the unit circle. We focus our attention on the outer relative asymptotics of these polynomials in terms of those associated with the measure μ. The behaviour of their zeros in terms of the parameter λ is studied in some illustrative examples.
Publication Information
Output type
Research Output: Contribution to journal Article Peer-review
Original language
EnglishPages from-to (Number of pages)
Pages 23-38 (16 pages)Journal (Volume, Issue Number)
Integral Transforms and Special Functions (Volume 24, Issue 1)Publication milestones
- Published - 01/2013
Publication status
Published - 01/2013
ISSN
1065-2469Publication IDs
- Scopus: 84864286907
Funding Details
The work of the K.C. and F.M. was supported by Dirección General de Investigación, Ministerio de Ciencia e Inovación of Spain, grant MTM2009-12740-C03-01. The work of L.E.G. was supported by Consejo Nacional de Ciencia y Tecnología of México, grant 156668. K.C. thanks the Katholieke Universiteit Leuven for the hospitality during the visit in which part of this work was done.
FundersFunding numbers
Ministerio de Ciencia e Inovación of Spain
MTM2009-12740-C03-01
CONACYT
156668