Characterization of Laguerre polynomials as orthogonal polynomials connected by the Laguerre degree raising shift operator

被引：8

作者：

Aloui, Baghdadi ^{[1
]}

机构：

[1] Fac Sci Gabes, Dept Mathemat, Cite Erriadh 6072, Gabes, Tunisia

来源：

RAMANUJAN JOURNAL | 2018年 / 45卷 / 02期

关键词：

Orthogonal polynomials; Linear functionals; Classical polynomials; Laguerre polynomials; Laguerre degree raising shift operator;

D O I：

10.1007/s11139-017-9901-x

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce the notion of -classical orthogonal polynomials, where is the degree raising shift operator for the sequence of Laguerre polynomials of parameter . Then we show that the Laguerre polynomials , are the only -classical orthogonal polynomials.

引用

页码：475 / 481

页数：7

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