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.
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页码：283 / 303
页数：21
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