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Remarks on asymptotics for Jacobi polynomials

✍ Scribed by P. Baratella; L. Gatteschi


Book ID
110562157
Publisher
Springer Milan
Year
1991
Tongue
English
Weight
286 KB
Volume
28
Category
Article
ISSN
0008-0624

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Let {Sn}n denote a sequence of polynomials orthogonal with respect to the Sobolev inner product where ΒΏ 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 β†’ +∞ and x ΓΏxed, x ∈ C \ [ -1;