Strong asymptotics for the sequence of monic polynomials Q n (z), orthogonal with respect to the inner product with z outside of the support of the measure + 2 , is established under the additional assumption that + 1 and + 2 form a so-called coherent pair with compact support. Moreover, the asympt
Asymptotics for Jacobi–Sobolev orthogonal polynomials associated with non-coherent pairs of measures
✍ Scribed by Eliana X.L. de Andrade; Cleonice F. Bracciali; Laura Castaño-García; Juan J. Moreno-Balcázar
- Book ID
- 108159118
- Publisher
- Elsevier Science
- Year
- 2010
- Tongue
- English
- Weight
- 263 KB
- Volume
- 162
- Category
- Article
- ISSN
- 0021-9045
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📜 SIMILAR VOLUMES
Let {Sn}n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product where ¿ 0 and {d 0; d 1} is a so-called coherent pair with at least one of the measures d 0 or d 1 a Jacobi measure. We investigate the asymptotic behaviour of Sn(x), for n → +∞ and x ÿxed, x ∈ C \ [ -1;
We study the strong asymptotics for the sequence of manic polynomials Q&c), orthogonal with respect to the inner product U-3 9)s = s f(xMx) h(x) + 1 s f'(x)s'(x> 44X), A> 0, with x outside of the support of the measure ~2. We assume that ~1 and ~2 are symmetric and compactly supported measures on lR