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Strong Asymptotics for Orthogonal Polynomials with Regularly and Slowly Varying Recurrence Coefficients

✍ Scribed by J.S. Geronimo; D. Smith; W. Vanassche


Publisher
Elsevier Science
Year
1993
Tongue
English
Weight
433 KB
Volume
72
Category
Article
ISSN
0021-9045

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We consider asymptotics for orthogonal polynomials with respect to varying exponential weights w n (x)dx = e -nV (x) dx on the line as n β†’ ∞. The potentials V are assumed to be real analytic, with sufficient growth at infinity. The principle results concern Plancherel-Rotach-type asymptotics for the