Recurrence relations of the multi-indexed orthogonal polynomials

被引：23

作者：

Odake, Satoru ^{[1
]}

机构：

[1] Shinshu Univ, Dept Phys, Matsumoto, Nagano 3908621, Japan

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 08期

基金：

日本学术振兴会;

关键词：

X-L LAGUERRE; SOLVABLE POTENTIALS; RATIONAL EXTENSIONS; CRUMS THEOREM;

D O I：

10.1063/1.4819255

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Ordinary orthogonal polynomials are uniquely characterized by the three term recurrence relations up to an overall multiplicative constant. We show that the newly discovered M-indexed orthogonal polynomials satisfy 3 + 2M term recurrence relations with non-trivial initial data of the lowest M + 1 members. These include the multi-indexed orthogonal polynomials of Laguerre, Jacobi, Wilson, and Askey-Wilson types. The M = 0 case is the corresponding classical orthogonal polynomials. (C) 2013 AIP Publishing LLC.

引用

页数：18

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