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A Jacobi type Christoffel–Darboux formula for multiple orthogonal polynomials of mixed type

✍ Scribed by Araznibarreta, Gerardo; Mañas, Manuel


Book ID
124136788
Publisher
Elsevier Science
Year
2015
Tongue
English
Weight
860 KB
Volume
468
Category
Article
ISSN
0024-3795

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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;