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Laguerre-Sobolev orthogonal polynomials

✍ Scribed by Francisco Marcellán; Teresa E. Pérez; Miguel A. Piñar


Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
871 KB
Volume
71
Category
Article
ISSN
0377-0427

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Let fS n g denote the sequence of polynomials orthogonal with respect to the Sobolev inner product ðf ; gÞ S ¼ where a4 À 1; l40 and the leading coefficient of the S n is equal to the leading coefficient of the Laguerre polynomial L ðaÞ n : In this work, a generating function for the Sobolev-Laguer

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In this paper, we study orthogonal polynomials with respect to the inner product Ž . ŽN. ² : , where G 0 for m s 1, . . . , N, and u is a semiclassical, positive definite linear functional. For these non-standard orthogonal polynomials, algebraic and differential properties are obtained, as well a