Asymptotics of derivatives of orthogonal polynomials on the real line

E. Levin; D. S. Lubinsky

doi:10.1007/s10474-007-6183-6

Asymptotics of derivatives of orthogonal polynomials on the real line

E. Levin, D. S. Lubinsky

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L ₂ norm.

Original language	English
Pages (from-to)	115-127
Number of pages	13
Journal	Acta Mathematica Hungarica
Volume	118
Issue number	1-2
DOIs	https://doi.org/10.1007/s10474-007-6183-6
State	Published - Jan 2008

Keywords

Asymptotics of orthogonal polynomials
Derivatives of orthogonal polynomials
Szego's condition

Access to Document

10.1007/s10474-007-6183-6

Cite this

@article{672c7f8a931f4b469ed3c9857e1ca753,

title = "Asymptotics of derivatives of orthogonal polynomials on the real line",

abstract = "We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L 2 norm.",

keywords = "Asymptotics of orthogonal polynomials, Derivatives of orthogonal polynomials, Szego's condition",

author = "E. Levin and Lubinsky, \{D. S.\}",

year = "2008",

month = jan,

doi = "10.1007/s10474-007-6183-6",

language = "אנגלית",

volume = "118",

pages = "115--127",

journal = "Acta Mathematica Hungarica",

issn = "0236-5294",

publisher = "Springer Netherlands",

number = "1-2",

}

TY - JOUR

T1 - Asymptotics of derivatives of orthogonal polynomials on the real line

AU - Levin, E.

AU - Lubinsky, D. S.

PY - 2008/1

Y1 - 2008/1

N2 - We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L 2 norm.

AB - We show that uniform asymptotics of orthogonal polynomials on the real line imply uniform asymptotics for all their derivatives. This is more technically challenging than the corresponding problem on the unit circle. We also examine asymptotics in the L 2 norm.

KW - Asymptotics of orthogonal polynomials

KW - Derivatives of orthogonal polynomials

KW - Szego's condition

UR - https://www.scopus.com/pages/publications/43249096187

U2 - 10.1007/s10474-007-6183-6

DO - 10.1007/s10474-007-6183-6

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:43249096187

SN - 0236-5294

VL - 118

SP - 115

EP - 127

JO - Acta Mathematica Hungarica

JF - Acta Mathematica Hungarica

IS - 1-2

ER -

Asymptotics of derivatives of orthogonal polynomials on the real line

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this