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

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10.1007/s10474-007-6183-6

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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.",

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KW - Derivatives of orthogonal polynomials

KW - Szego's condition

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Asymptotics of derivatives of orthogonal polynomials on the real line

Abstract

Keywords

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