A family of discrete semi-classical orthogonal polynomials of class one

被引：1
|
作者：
Sghaier, M. [1 ]
Zaatra, M. [2 ]
机构：
[1] Inst Super Informat Medenine, Medenine 4119, Tunisia
[2] Inst Super Sci & Tech Eaux Gabes, Gabes 6072, Tunisia
来源：
PERIODICA MATHEMATICA HUNGARICA | 2018年 / 76卷 / 01期
关键词：
Discrete semi-classical orthogonal polynomials; Difference operator; Laguerre-Freud equations;
D O I：
10.1007/s10998-017-0211-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we solve the system of Laguerre-Freud equations for the recurrence coefficients , of the -semi-classical orthogonal polynomials sequences of class one in the case when , and with , where is the divided difference operator. There are essentially four canonical families.
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页码：68 / 87
页数：20
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