CLASSICAL ORTHOGONAL POLYNOMIALS - A FUNCTIONAL-APPROACH

被引：100

作者：

MARCELLAN, F

BRANQUINHO, A

PETRONILHO, J

机构：

[1] UNIV CARLOS III,ESCUELA POLITECN SUPER,DEPT MATEMAT,E-28913 LEGANES MADRID,SPAIN

[2] UNIV COIMBRA,DEPT MATEMAT,P-3000 COIMBRA,PORTUGAL

来源：

ACTA APPLICANDAE MATHEMATICAE | 1994年 / 34卷 / 03期

关键词：

ORTHOGONAL POLYNOMIALS; LINEAR FUNCTIONALS; DIFFERENTIAL EQUATIONS;

D O I：

10.1007/BF00998681

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We characterize the so-called classical orthogonal polynomials (Hermite, Laguerre, Jacobi, and Bessel) using the distributional differential equation D(phiu) = psiu. This result is naturally not new. However, other characterizations of classical orthogonal polynomials can be obtained more easily from this approach. Moreover, three new properties are obtained.

引用

页码：283 / 303

页数：21