Title of article
Laguerre-Sobolev orthogonal polynomials
Author/Authors
A.G. and Marcellلn، نويسنده , , Francisco and Pérez، نويسنده , , Teresa E. and Piٌar، نويسنده , , Miguel A.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 1996
Pages
21
From page
245
To page
265
Abstract
In this paper, polynomials that are orthogonal with respect to the inner product (f,g)s=∫+∞0 f(x)g(x)xαe−xdx+λ∫+∞0 f′(x)g′(x)xαe−xdx where α > −1 and λ⩾0, are studied. For these nonstandard orthogonal polynomials algebraic and differential properties as well as the relation with the classical Laguerre polynomials are obtained. Finally, some properties concerning the localization and separation of the zeros of these polynomials are deduced.
Keywords
Laguerre polynomials , Sobolev orthogonal polynomials , Zeros
Journal title
Journal of Computational and Applied Mathematics
Serial Year
1996
Journal title
Journal of Computational and Applied Mathematics
Record number
1547274
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