Third-order self-associated orthogonal polynomial sequences

被引：0

作者：

Ihsen Tounsi, M. ^{[1
,2
]}

Msaddek, Sondes ^{[3
]}

机构：

[1] Univ Gabes, Gabes, Tunisia

[2] Inst Super Sci Appl & Technol Gabe, Rue Omar Ibn El Khattab 6072, Gabes, Tunisia

[3] Fac Sci Gabes, Gabes, Tunisia

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2021年 / 27卷 / 09期

关键词：

Cubic decomposition; quadratic decomposition; Stieltjes function; semiclassical form; structure relation; CUBIC DECOMPOSITION; FAMILY;

D O I：

10.1080/10236198.2021.1985485

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this study is to describe the orthogonal polynomial sequences that are identical to their third associated sequence. The resulting sequences are semiclassical of class s <= 6. The symmetric case is studied, in which an integral representation of particular case is illustrated. The polynomials of the structure relation are given explicitly.

引用

页码：1395 / 1418

页数：24

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