Characterization of the D-Laguerre-Hahn orthogonal polynomials of class one via the cubic decomposition

被引：2

作者：

Kheriji, L. ^{[1
]}

Omrani, K. ^{[2
]}

机构：

[1] Univ Tunis El Manar, Inst Preparatoire Etud Ingn El Manar, Campus Univ El Manar BP 244 El Manar 2, Tunis 2092, Tunisia

[2] Univ Tunis El Manar, Fac Sci Tunis, Tunis, Tunisia

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2023年 / 34卷 / 08期

关键词：

Laguerre-Hahn forms; orthogonal polynomials; cubic decomposition; PERTURBATIONS; SEQUENCES; FORMS;

D O I：

10.1080/10652469.2022.2159959

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, we deal with a monic orthogonal polynomial sequence (MOPS) deduced by its cubic decomposition (CD) W-3n(x)=P-n(x(3)), n >= 0. Our goal is to determine all D-Laguerre-Hahn strict of class one of these sequences. From the CD structure, only one family of MOPS appears in connection with the D-Laguerre-Hahn of class zero of Jacobi type in the singular case and the nonsingular one. Their recurrence coefficients are highlighted.

引用

页码：570 / 588

页数：19

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