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Interpolatory integration rules and orthogonal polynomials with varying weights

✍ Scribed by T. Bloom; D. S. Lubinsky; H. Stahl

Publisher
Springer US
Year
1992
Tongue
English
Weight
447 KB
Volume
3
Category
Article
ISSN
1017-1398

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πŸ“œ SIMILAR VOLUMES

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In this paper we review a connection of orthogonal polynomials with respect to varying weights to weighted approximation, multipoint Pad6 approximation and to some questions of theoretical physics. (~) 1998 Elsevier Science B.V. All rights reserved.

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We consider orthogonal polynomials {p n,N (x)} ∞ 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