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Asymptotic behavior of orthogonal polynomials primitives. (English) Zbl 1253.42019

Español, Luis (ed.) et al., Margarita mathematica en memoria de José Javier (Chicho) Guadalupe Hernández. Logroño: Universidad de la Rioja, Servicio de Publicaciones (ISBN 84-95301-56-3/hbk). 627-633 (2001).
Summary: We study the zero location and the asymptotic behavior of the primitives of the standard orthogonal polynomials with respect to a finite positive Borel measure on \([-1,1]\).
For the entire collection see [Zbl 0983.00065].

MSC:

42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis
33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
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