Asymptotics of orthogonal polynomials for a weight with a jump on [-1; 1]

We consider the orthogonal polynomials on [−1,1] with respect to the weight where h is real analytic and strictly positive on [−1,1] and Ξ c is a step-like function: Ξ c (x)=1 for x∈[−1,0) and Ξ c (x)=c 2, c>0, for x∈[0,1]. We obtain strong uniform asymptotics of the monic orthogonal polynomials...

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Bibliographic Details
Main Authors: Foulquié Moreno, A., Martínez-Finkelshtein, Andrei, Sousa, V. L.
Format: info:eu-repo/semantics/article
Language:English
Published: 2012
Subjects:
Online Access:http://hdl.handle.net/10835/1626