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

被引：0

作者：

Deano, Alfredo ^{[1
]}

Huertas, Edmundo J. ^{[2
]}

Roman, Pablo ^{[3
]}

机构：

[1] Univ Carlos III Madrid, Dept Matemat, E-28903 Getafe, Spain

[2] Univ Politecn Madrid, Dept Ingn Civil Hidraul Energia & Medio Ambiente, ETSI Caminos Canales & Puertos, E-28040 Madrid, Spain

[3] Univ Nacl Cordoba, CIEM, FaMAP, RA-5000 Cordoba, Argentina

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2016年 / 433卷 / 01期

关键词：

Orthogonal polynomials; Canonical spectral transformations of measures; Asymptotic analysis; Hypergeometric functions;

D O I：

10.1016/j.jmaa.2015.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with monic orthogonal polynomials generated by a Geronimus canonical spectral transformation of the Laguerre classical measure, i.e., 1/x - cx(alpha)e(-x)dx + N delta(x - c) for x is an element of [0, infinity), alpha > -1, a free parameter N is an element of R+ 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. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：732 / 746

页数：15

共 27 条

[1] [Anonymous], 2004, ORTHOGONAL POLYNOMIA, DOI DOI 10.1093/OSO/9780198506720.001.0001, Patent No. 220512815
[2] [Anonymous], 1939, Orthogonal polynomials
[3] Zeros of Orthogonal Polynomials Generated by the Geronimus Perturbation of Measures
Branquinho, Amilcar
Huertas, Edmundo J.
Rafaeli, Fernando R.
[J]. COMPUTATIONAL SCIENCE AND ITS APPLICATIONS - ICCSA 2014, PT 1, 2014, 8579 : 44 - 59
[4] Darboux transformation and perturbation of linear functionals
Bueno, MI
Marcellán, F
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 384 : 215 - 242
[5] A new algorithm for computing the Geronimus transformation with large shifts
Cachadina, Maria Isabel Bueno
Deano, Alfredo
Tavernetti, Edward
[J]. NUMERICAL ALGORITHMS, 2010, 54 (01) : 101 - 139
[6] Chihara T. S., 1978, MATH APPL
[7] Identifying minimal and dominant solutions for Kummer recursions
Deano, Alfredo
Segura, Javier
Temme, Nico M.
[J]. MATHEMATICS OF COMPUTATION, 2008, 77 (264) : 2277 - 2293
[8] Strong and ratio asymptotics for Laguerre polynomials revisited
Deano, Alfredo
Huertas, Edmundo J.
Marcellan, Francisco
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 403 (02) : 477 - 486
[9] Deift P., 2000, ORTHOGONAL POLYNOMIA
[10] Multiple Geronimus transformations
Derevyagin, M.
Garcia-Ardila, J. C.
Marcellan, F.
[J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 454 : 158 - 183

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