ON INVERSE PROBLEMS FOR ORTHOGONAL POLYNOMIALS .1.

被引：4

作者：

MARCELLAN, F

BRANQUINHO, A

PETRONILHO, J

机构：

[1] UNIV CARLOS III,DEPT MATEMAT,MADRID,SPAIN

[2] UNIV COIMBRA,DEPT MATEMAT,COIMBRA,PORTUGAL

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 1993年 / 49卷 / 1-3期

关键词：

ORTHOGONAL POLYNOMIALS; MOMENT FUNCTIONALS; DIFFERENTIAL EQUATIONS;

D O I：

10.1016/0377-0427(93)90146-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Bonan et al. (1987) gave an apparent generalization of semiclassical orthogonal polynomial sequences for positive measures as an inverse problem for orthogonal polynomials. We study a more general situation for regular orthogonal polynomials. The connection between the corresponding linear functions is obtained. The basic result is the semiclassical character of such functionals.

引用

页码：153 / 160

页数：8

共 9 条

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