A DIFFERENTIAL DERIVATION OF THE RECURRENCE RELATIONS FOR THE CLASSICAL ORTHOGONAL POLYNOMIALS

被引：0

作者：

SLAVYANOV, SY ^{[1
]}

机构：

[1] MAX PLANCK INST MET RES,W-7000 STUTTGART 80,GERMANY

来源：

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

关键词：

ORTHOGONAL POLYNOMIALS; OPERATOR ALGEBRA; RECURRENCE RELATIONS;

D O I：

10.1016/0377-0427(93)90157-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The recurrence relations for classical orthogonal polynomials are derived in a new way by using two fruitful tools. One tool is a specially chosen commutator algebra for certain simple operators. The other tool is a confluence process. No other formula except a differential equation for polynomials is used. Jacobi polynomials and Laguerre polynomials are taken as examples.

引用

页码：251 / 254

页数：4