Symmetric Semi-classical Orthogonal Polynomials of Class One on q-Quadratic Lattices

被引：0

作者：

Filipuk, Galina ^{[1
]}

Rebocho, Maria das Neves ^{[2
,3
]}

机构：

[1] Univ Warsaw, Fac Math Informat & Mech, Banacha 2, PL-02097 Warsaw, Poland

[2] Univ Beira Interior, Dept Matemat, P-6201001 Covilha, Portugal

[3] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

来源：

FORMAL AND ANALYTIC SOLUTIONS OF DIFF. EQUATIONS | 2018年 / 256卷

关键词：

Orthogonal polynomials; Divided-difference operator; Non-uniform lattices; Askey-Wilson operator;

D O I：

10.1007/978-3-319-99148-1_15

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we study discrete semi-classical orthogonal polynomials on non-uniform lattices. In the symmetric class one case we give a closed form expression for the recurrence coefficients of orthogonal polynomials.

引用

页码：251 / 261

页数：11

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