Asymptotics for orthogonal polynomials off the circle

R. Khaldi and R. Benzine

Journal of Applied Mathematics, 2004, vol. 2004, 1-17

Abstract:

We study the strong asymptotics of orthogonal polynomials with respect to a measure of the type d μ / 2 π + ∑ j = 1 ∞ A j δ ( z − z k ) , where μ is a positive measure on the unit circle Γ satisfying the Szegö condition and { z j } j = 1 ∞ are fixed points outside Γ . The masses { A j } j = 1 ∞ are positive numbers such that ∑ j = 1 ∞ A j < + ∞ . Our main result is the explicit strong asymptotic formulas for the corresponding orthogonal polynomials.

Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:629594

DOI: 10.1155/S1110757X04304092

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