Ladder operators and a differential equation for varying generalized Freud-type orthogonal polynomials

被引：3

作者：

Filipuk, Galina ^{[1
]}

Manas-Manas, Juan F. ^{[2
]}

Moreno-Balcazar, Juan J. ^{[2
,3
]}

机构：

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

[2] Univ Almeria, Dept Matemat, Ctra Sacramento S-N, La Canada De San Urbano 04120, Almeria, Spain

[3] Inst Carlos I Fis Teor & Computac, Ctra Sacramento S-N, La Canada De San Urbano 04120, Almeria, Spain

来源：

RANDOM MATRICES-THEORY AND APPLICATIONS | 2018年 / 7卷 / 04期

关键词：

Orthogonal polynomials; ladder operators; Freud weights; STRONG ASYMPTOTICS; RESPECT; WEIGHTS;

D O I：

10.1142/S2010326318400051

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we introduce varying generalized Freud-type polynomials which are orthogonal with respect to a varying discrete Freud-type inner product. Our main goal is to give ladder operators for this family of polynomials as well as find a second-order differential-difference equation that these polynomials satisfy. To reach this objective, it is necessary to consider the standard Freud orthogonal polynomials and, in the meanwhile, we find new difference relations for the coefficients in the first-order differential equations that this standard family satisfies.

引用

页数：28

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