On the Darboux transformations and sequences of p-orthogonal polynomials

作者：

Highlights：

• The Darboux factorization for Hessenberg banded matrices is used.

• The effect of this factorization on the sequence of polynomials associated to each matrix is analyzed.

• The concept of Darboux transformation for vectors of functionals is introduced and analyzed.

• An example is introduced to illustrate the above concepts and the related results.

摘要

•The Darboux factorization for Hessenberg banded matrices is used.•The effect of this factorization on the sequence of polynomials associated to each matrix is analyzed.•The concept of Darboux transformation for vectors of functionals is introduced and analyzed.•An example is introduced to illustrate the above concepts and the related results.

论文关键词：Darboux transformations,p-orthogonal polynomials,Hessenberg banded matrices

论文评审过程：Received 31 October 2019, Revised 11 February 2020, Accepted 26 April 2020, Available online 21 May 2020, Version of Record 21 May 2020.

论文官网地址：https://doi.org/10.1016/j.amc.2020.125337