Laguerre-Sobolev orthogonal polynomials

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:71

Article

Marcellan, F ; Perez, TE ; Pinar, MA

关键词: Laguerre polynomials;    Sobolev orthogonal polynomials;    zeros;   

DOI  :  10.1016/0377-0427(95)00234-0

来源: Elsevier

【 摘 要 】

In this paper, polynomials that are orthogonal with respect to the inner product (f,g)s = integral(0)(+infinity) f(x)g(x)x(alpha)e(-x)dx + lambda integral(0)(+infinity) f'(x)g'(x)x(alpha)e(-x)dx where alpha > -1 and lambda greater than or equal to 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.

【 授权许可】

Free