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Orthogonality and asymptotics of Pseudo-Jacobi polynomials for non-classical parameters

✍ Scribed by Jordaan, K.; Toókos, F.


Book ID
121797556
Publisher
Elsevier Science
Year
2014
Tongue
English
Weight
239 KB
Volume
178
Category
Article
ISSN
0021-9045

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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;