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Polynomials orthogonal with respect to discrete convolution

✍ Scribed by Waleed A Al-Salam; Mourad E.H Ismail


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
590 KB
Volume
55
Category
Article
ISSN
0022-247X

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Strong asymptotics of orthogonal polynom
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We consider asymptotics of orthogonal polynomials with respect to weights w(x)dx = e -Q(x) dx on the real line, where Q(x) = βˆ‘ 2m k=0 q k x k , q 2m > 0, denotes a polynomial of even order with positive leading coefficient. The orthogonal polynomial problem is formulated as a Riemann-Hilbert problem