-coherent pairs of order and Sobolev orthogonal polynomials
✍ Scribed by de Jesus, M.N.; Marcellán, F.; Petronilho, J.; Pinzón-Cortés, N.C.
- Book ID
- 123470520
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 798 KB
- Volume
- 256
- Category
- Article
- ISSN
- 0377-0427
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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
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;