Geronimus transformations for sequences of $d$-orthogonal polynomials.

@inproceedings{Rolana2019GeronimusTF,
  title={Geronimus transformations for sequences of \$d\$-orthogonal polynomials.},
  author={Dolores Barrios Rolan{\'i}a and Juan C. Garc{\'i}a-Ardila},
  year={2019}
}
In this paper an extension of the concept of Geronimus transformation for sequences of $d$-orthogonal polynomials $\{P_n\}$ is introduced. The transformed sequences $\{P^{(k)}_n\}$, for $ 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. 

Create an AI-powered research feed to stay up to date with new papers like this posted to ArXiv

References

Publications referenced by this paper.