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Asymptotics of Sobolev orthogonal polynomials for coherent pairs of Jacobi type

✍ Scribed by Henk G. Meijer; Miguel A. Piñar

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
105 KB
Volume
108
Category
Article
ISSN
0377-0427

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✦ Synopsis

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; 1] as well as x ∈ (-1; 1).

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