Deaño, Alfredo, Huertas, Edmundo, Román, Pablo (2016) Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure. Journal of Mathematical Analysis and Applications, 433 (1). pp. 732-746. ISSN 0022-247X. (doi:10.1016/j.jmaa.2015.08.002) (KAR id:51338)
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| Official URL: https://doi.org/10.1016/j.jmaa.2015.08.002 |
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Abstract
This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure for x in [0,?), ? > ?1, a free parameter N and a shift c<0. We analyze the asymptotic behavior (both strong and relative to classical Laguerre polynomials) of these orthogonal polynomials as n tends to infinity.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.jmaa.2015.08.002 |
| Projects: | Orthogonality and Approximation. Theory and Applications in Science and Technology, Numerical and asymptotic methods for the evaluation of mathematical functions and associated |
| Subjects: |
Q Science > QA Mathematics (inc Computing science) > QA297 Numerical analysis Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus Q Science > QA Mathematics (inc Computing science) > QA351 Special functions |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Funders: |
Ministry of Economy, Industry and Competitiveness (https://ror.org/034900433)
National Scientific and Technical Research Council (https://ror.org/03cqe8w59) |
| Depositing User: | Alfredo Deano Cabrera |
| Date Deposited: | 02 Nov 2015 11:00 UTC |
| Last Modified: | 20 May 2025 11:37 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/51338 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Deaño, Alfredo.
| Creator's ORCID: |
 https://orcid.org/0000-0003-1704-247X
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