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Absolutely continuous measures for systems of orthogonal polynomials with unbounded recurrence coefficients

โœ Scribed by J. Dombrowski


Publisher
Springer
Year
1992
Tongue
English
Weight
298 KB
Volume
8
Category
Article
ISSN
0176-4276

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The asymptotic behaviour of recurrence c
โœ A.B.J. Kuijlaars; P.M.J. Tibboel ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 661 KB

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