Title

Asymptotic Behavior Of Orthogonal Polynomials Corresponding To Measure With Discrete Part Off The Unit Circle

Abstract

For a positive measure μ on the unit circle (Γ) in the complex plane, m points zj off Γ and m positive numbers Aj, j = 1, 2,., m, we investigate the asymptotic behavior of orthonormal polynomials Φn(z) corresponding to d μ/2π + Σmj=1Aj δzj, where δz denotes the unit measure supported at point z. Our main result is the relative asymptotics of Φn(z) with respect to the orthonormal polynomial corresponding to d μ/(2 π) off and on Γ. © 1994 Academic Press, Inc.

Publication Date

1-1-1994

Publication Title

Journal of Approximation Theory

Volume

79

Issue

1

Number of Pages

54-71

Document Type

Article

Identifier

scopus

Personal Identifier

scopus

DOI Link

https://doi.org/10.1006/jath.1994.1113

Socpus ID

0012959032 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0012959032

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