ORTHOGONAL POLYNOMIALS AND CUBIC TRANSFORMATIONS

被引：7

作者：

MARCELLAN, F

SANSIGRE, G

机构：

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

[2] ESCUELA TECN SUPER INGN IND,DEPT MATEMAT APLICADA,MADRID,SPAIN

来源：

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

关键词：

ORTHOGONAL POLYNOMIALS; RECURRENT COEFFICIENTS; POLYNOMIAL MAPPINGS;

D O I：

10.1016/0377-0427(93)90147-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Starting from a sequence {P(n)} of orthogonal polynomials with respect to a quasi definite or regular linear functional, we construct a new sequence {Q(n)} of orthogonal polynomials such that Q3n(x) = P(n)(x3). The basic tool is the three-term recurrence relation which such a family satisfies. As an application we present some examples concerning Chebyshev and Hermite polynomials.

引用

页码：161 / 168

页数：8

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