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.
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页码：161 / 168
页数：8
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