Classical Orthogonal Polynomials and Some New Properties for Their Centroids of Zeroes

被引：1

作者：

Aloui, B. ^{[1
]}

Chammam, W. ^{[1
,2
]}

机构：

[1] Gabes Univ, Higher Inst Ind Syst Gabes, Dept Electromech, St Salah Eddine Elayoubi, Gabes 6033, Tunisia

[2] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, POB 66, Al Majmaah 11952, Saudi Arabia

来源：

ANALYSIS MATHEMATICA | 2020年 / 46卷 / 01期

关键词：

classical orthogonal polynomial; centroid of zeroes; INTERPOLATION; SEQUENCES; ROOTS;

D O I：

10.1007/s10476-020-0012-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper aims to highlight new properties of the centroid of the zeroes of a polynomial. As an illustration, we apply these techniques to O-classical orthogonal polynomials, where O is the derivative operator D or the q-derivative H-q.

引用

页码：13 / 23

页数：11

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