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Spatial entropy of central potentials and strong asymptotics of orthogonal polynomials

✍ Scribed by Aptekarev, A. I.; Dehesa, J. S.; Yáñez, R. J.

Book ID
120521311
Publisher
American Institute of Physics
Year
1994
Tongue
English
Weight
708 KB
Volume
35
Category
Article
ISSN
0022-2488

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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) = ∑ 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