On some perturbed q-Laguerre-Hahn orthogonal q-polynomials

被引：5

作者：

Jbeli, S. ^{[1
]}

Kheriji, L. ^{[2
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Campus Univ El Manar,LR13ES06, Tunis 2092, Tunisia

[2] Univ Tunis El Manar, Inst Preparatoire Etud Ingn El Manar, Campus Univ El Manar 2092,LR13ES06, Tunis, Tunisia

来源：

PERIODICA MATHEMATICA HUNGARICA | 2023年 / 86卷 / 01期

关键词：

Orthogonal q-polynomials; q-derivative operator; q-Laguerre-Hahn character; Regular form; Standard perturbations; PERTURBATIONS; EQUATIONS; FORMS;

D O I：

10.1007/s10998-022-00463-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Our goal is to study the multiplication by a polynomial of a H-q-Laguerre-Hahn form and its inverse one where H-q be the q-derivative operator. The class of the obtained form is discussed in detail in the two cases. Some examples in connection with the H-q-semiclassical forms are highlighted.

引用

页码：115 / 138

页数：24

共 27 条

[1] Symmetric Laguerre-Hahn forms of class s=1 [J].

Alaya, J ;

Maroni, P .

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 1996, 4 (04) :301-320

[2]

Alaya J., 1996, Methods Appl Anal, V3, P12, DOI [10.4310/MAA.1996.v3.n1.a2, DOI 10.4310/MAA.1996.V3.N1.A2]

[3] On the Christoffel product of a D-Laguerre-Hahn form by a polynomial of one degree [J].

Ben Gharbi, K. ;

Kheriji, L. .

AFRIKA MATEMATIKA, 2021, 32 (5-6) :1147-1157

[4] Characterization of the symmetric D-Laguerre-Hahn orthogonal polynomial sequences of even class via the quadratic decomposition [J].

Ben Gharbi, K. ;

Kheriji, L. ;

Tounsi, M. Ihsen .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2018, 24 (07) :1164-1184

[5] Third degree classical forms [J].

Ben Salah, I .

APPLIED NUMERICAL MATHEMATICS, 2003, 44 (04) :433-447

[6]

Bouakkaz H., 1991, ORTHOGONAL POLYNOMIA, V9, P95

[7] Darboux transformation and perturbation of linear functionals [J].

Bueno, MI ;

Marcellán, F .

LINEAR ALGEBRA AND ITS APPLICATIONS, 2004, 384 :215-242

[8] SEVERAL FORMULAS AND IDENTITIES RELATED TO CATALAN-Qi AND q-CATALAN-Qi NUMBERS [J].

Chammam, Wathek .

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2019, 50 (04) :1039-1048

[9]

Chihara T.S., 1978, An introduction to orthogonal polynomials, V13

[10]

Christoffel E.B., 1858, J. Reine Angew. Math, V55, P61, DOI DOI 10.1515/CRLL.1858.55.61

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