Geodesic
Continuous symmetrized Sobolev inner products of order $N$. II
Electronic transactions on numerical analysis, Tome 24 (2006), pp. 55-65.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Given a symmetrized Sobolev inner product of order , the corresponding sequence of monic or- $$###$$ thogonal polynomials satisfies , for certain sequences of monic $$###$\ddot ${\S}$\copyright $ {\S} $\copyright ${\S} $\copyright \copyright $! #" $ \copyright \\%('\ddot $) 01 $ polynomials and . In this paper we consider the particular case when all the measures that define the ###$ \copyright 2 $###$ \copyright $ " 1 symmetrized Sobolev inner product are equal, absolutely continuous and semiclassical. Under such restrictions, we give explicit algebraic relations between the sequences and , as well as higher-order recurrence relations ### ###$ \copyright \copyright $" 1 that they satisfy.$$
Classification : 42C05
Keywords: Sobolev inner product, orthogonal polynomials, semiclassical linear functionals, recurrence relation, symmetrization process 
@article{ETNA_2006__24__a7,
     author = {Bueno, M.Isabel and Marcell\'an, Francisco and S\'anchez-Ruiz, Jorge},
     title = {Continuous symmetrized {Sobolev} inner products of order $N$. {II}},
     journal = {Electronic transactions on numerical analysis},
     pages = {55--65},
     publisher = {mathdoc},
     volume = {24},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__24__a7/}
}
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AU  - Marcellán, Francisco
AU  - Sánchez-Ruiz, Jorge
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%A Marcellán, Francisco
%A Sánchez-Ruiz, Jorge
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%J Electronic transactions on numerical analysis
%D 2006
%P 55-65
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Bueno, M.Isabel; Marcellán, Francisco; Sánchez-Ruiz, Jorge. Continuous symmetrized Sobolev inner products of order $N$. II. Electronic transactions on numerical analysis, Tome 24 (2006), pp. 55-65. http://geodesic.mathdoc.fr/item/ETNA_2006__24__a7/