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.
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页码：1395 / 1418
页数：24
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