Zeros of polynomials orthogonal with respect to a signed weight
β Scribed by M.J. Atia; M. Benabdallah; R.S. Costas-Santos
- Book ID
- 113657057
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 159 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0019-3577
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π SIMILAR VOLUMES
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.
We consider asymptotics of orthogonal polynomials with respect to weights w(x)dx = e -Q(x) dx on the real line, where Q(x) = β 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