Asymptotics of orthogonal polynomials generated by a Geronimus perturbation of the Laguerre measure

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

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
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
Divisions:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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:	05 Nov 2024 10:37 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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