Computing the moments of the density of zeros for orthogonal polynomials
β Scribed by B. Germano; P. Natalini; P.E. Ricci
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 615 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We establish some representations for the smallest and largest zeros of orthogonal polynomials in terms of the parameters in the three-terms recurrence relation. As a corollary we obtain representations for the endpoints of the true interval of orthogonality. Implications of these results for the de
Let p n Γ°xΓ be the orthonormal polynomials associated to a measure dm of compact support in R: If EesuppΓ°dmΓ; we show there is a d40 so that for all n; either p n or p nΓΎ1 has no zeros in Γ°E Γ d; E ΓΎ dΓ: If E is an isolated point of suppΓ°mΓ; we show there is a d so that for all n; either p n or p nΓΎ