Geronimus transformations for sequences of d-orthogonal polynomials

被引：7
|
作者：
Barrios Rolania, D. [1 ]
Garcia-Ardila, J. C. [1 ]
机构：
[1] Univ Politecn Madrid, Dept Matemat Aplicada Ingn Ind, C Jose Gutierrez Abascal 2, E-28006 Madrid, Spain
来源：
REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2020年 / 114卷 / 01期
关键词：
Geronimus transforms; d-orthogonal polynomials; Hessenberg banded matrices;
D O I：
10.1007/s13398-019-00765-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper an extension of the concept of Geronimus transformation for sequences of d-orthogonal polynomials {Pn} is introduced. The transformed sequences {Pn(k)}, for k=1,...,d, are analyzed and some relationships between these new sequences of polynomials are given. Also the associated Hessenberg matrices and their transformed are studied.
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页数：14
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