Ratio Asymptotics for Multiple Orthogonal Polynomials

We give the asymptotic behavior of the ratio of two neighboring multiple orthogonal polynomials under the condition that the recurrence coefficients in the nearest neighbor recurrence relations converge.

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Bibliographic Details
Published inModern Trends in Constructive Function Theory Vol. 661; pp. 73 - 85
Main Author Van Assche, Walter
Format Book Chapter
LanguageEnglish
Published Providence, Rhode Island American Mathematical Society 31.03.2016
SeriesContemporary Mathematics
Online AccessGet full text
ISBN1470425343
9781470425340
ISSN0271-4132
1098-3627
DOI10.1090/conm/661/13275

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Summary:We give the asymptotic behavior of the ratio of two neighboring multiple orthogonal polynomials under the condition that the recurrence coefficients in the nearest neighbor recurrence relations converge.
ISBN:1470425343
9781470425340
ISSN:0271-4132
1098-3627
DOI:10.1090/conm/661/13275