On the zeros of some d-orthogonal polynomials

被引：2
|
作者：
Ben Romdhane, Neila [1 ]
Abdelkader, Emna [1 ]
机构：
[1] Univ Sousse, Ecole Super Sci & Technol Hammam Sousse, Sousse, Tunisia
来源：
INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2022年 / 33卷 / 10期
关键词：
d-orthogonal polynomials; recurrence relation; (d+1)-fold symmetric polynomials; Hessenberg matrix; d-Charlier polynomials; d-orthogonal Chebyshev polynomials; Gould-Hopper polynomials; GENERATING-FUNCTIONS;
D O I：
10.1080/10652469.2022.2043298
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we give locations of the zeros of polynomials satisfying particular (d + 1)-order recurrence relations and we establish some representations of the smallest and largest real zeros of these polynomials in terms of the parameters in the (d + 1)-order recurrence relation. Particular interest is devoted to (d + 1) fold symmetric polynomials.
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页码：810 / 826
页数：17
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