Connections between Laguerre polynomials through a third-order differential operator transformation

被引：0

作者：

Chammam, Wathek ^{[1
,2
,3
]}

Aloui, Baghdadi ^{[4
]}

Souissi, Jihad ^{[5
]}

机构：

[1] Majmaah Univ, Coll Sci Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia

[2] Gabes Univ, Res Lab Math & Applicat LR17ES11, Gabes 6072, Tunisia

[3] Univ Carthage, Natl Inst Appl Sci & Technol, Carthage, Tunisia

[4] Sfax Univ, Fac Sci Sfax, Dept Math, Sfax, Tunisia

[5] Gabes Univ, Fac Sci Gabes, Dept Math, Gabes, Tunisia

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2025年 / 39卷 / 02期

关键词：

Laguerre polynomials; differential operators; lowering-raising-shift operators; eigenfunctions; CLASSICAL ORTHOGONAL POLYNOMIALS; RULES;

D O I：

10.22436/jmcs.039.02.08

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let {l((alpha)) (n) }n >= 0, (alpha not equal -m, m > 1), be the monic orthogonal sequence of Laguerre polynomials. We define a new differential operator, L alpha+, that raises the degree and also the parameter of nl(alpha) (x). More precisely, L-alpha+ ((alpha))(nl) (x) = l((alpha+1)) (n+1) (x),n > 0. As an illustration, we give some properties related to this operator and some other operators in the literature.

引用

页码：292 / 299

页数：8

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