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.

引用

页码：68 / 87

页数：20

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