Using potential theoretic methods we study the asymptotic distribution of zeros and critical points of Sobolev orthogonal polynomials, i.e., polynomials orthogonal with respect to an inner product involving derivatives. Under general assumptions it is shown that the critical points have a canonical
✦ LIBER ✦
Convolutions and zeros of orthogonal polynomials
✍ Scribed by Iván Area; Dimitar K. Dimitrov; Eduardo Godoy
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 186 KB
- Volume
- 61
- Category
- Article
- ISSN
- 0168-9274
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In this paper, we establish a quadrature formula and some basic properties of the zeros of a sequence (P n ) n of orthogonal matrix polynomials on the real line with respect to a positive definite matrix of measures. Using these results, we show how to get an orthogonalizing matrix of measures for a
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