English

Geronimus transformations for sequences of $d$-orthogonal polynomials

Functional Analysis 2019-05-22 v1

Abstract

In this paper an extension of the concept of Geronimus transformation for sequences of dd-orthogonal polynomials {Pn}\{P_n\} is introduced. The transformed sequences {Pn(k)}\{P^{(k)}_n\}, for k=1,,d, k=1,\ldots, d, are analyzed and some relationships between these new sequences of polynomials are given. Also the associated Hessenberg matrices and their transformed are studied.

Keywords

Cite

@article{arxiv.1905.08746,
  title  = {Geronimus transformations for sequences of $d$-orthogonal polynomials},
  author = {D. Barrios Rolanía and J. C. García-Ardila},
  journal= {arXiv preprint arXiv:1905.08746},
  year   = {2019}
}
R2 v1 2026-06-23T09:15:58.135Z