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Asymptotic behaviour of Stieltjes polynomials for ultraspherical weight functions

โœ Scribed by Sven Ehrich


Book ID
107989137
Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
476 KB
Volume
65
Category
Article
ISSN
0377-0427

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We consider orthogonal polynomials {p n,N (x)} โˆž n=0 on the real line with respect to a weight w(x) = e -NV (x) and in particular the asymptotic behaviour of the coefficients a n,N and b n,N in the three-term recurrence For one-cut regular V we show, using the Deift-Zhou method of steepest descent