Griffiths polynomials of Racah type

IF 1.2 3区物理与天体物理 Q3 PHYSICS, MATHEMATICAL

Journal of Mathematical Physics Pub Date : 2024-08-14 DOI:10.1063/5.0209006

Nicolas Crampé, Luc Frappat, Julien Gaboriaud, Eric Ragoucy, Luc Vinet, Meri Zaimi

引用次数: 0

Abstract

Bivariate Griffiths polynomials of Racah type are constructed from univariate Racah polynomials. The bispectral properties of the former are deduced from simple properties of the latter. A duality relation and the orthogonality of these polynomials are provided. The domain of validity for the indices and variables of these polynomials is also determined. Particular limits on the parameters entering the polynomials allow to define several Griffiths polynomials of other types. One special limit connects them to the original Griffiths polynomials (of Krawtchouk type). Finally, a connection with the 9j symbols is made.

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Racah 型格里菲斯多项式

从单变量 Racah 多项式构造出 Racah 型双变量格里菲斯多项式。前者的双谱性质是从后者的简单性质中推导出来的。提供了这些多项式的对偶关系和正交性。还确定了这些多项式的指数和变量的有效域。进入多项式的参数的特定限制允许定义其他类型的格里菲斯多项式。其中一个特殊限制将它们与原始格里菲斯多项式（Krawtchouk 类型）联系起来。最后，将它们与 9j 符号联系起来。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Mathematical Physics 物理-物理：数学物理

CiteScore

2.20

自引率

15.40%

发文量

396

审稿时长

4.3 months

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