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arXiv · 1905.08746

Geronimus transformations for sequences of $d$-orthogonal polynomials

D. Barrios Rolanía·J. C. García-Ardila
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Abstract

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.

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BibTeXRIS

D. Barrios Rolanía, J. C. García-Ardila. 2019-05-21. Geronimus transformations for sequences of $d$-orthogonal polynomials. https://arxiv.org/abs/1905.08746

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