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

  title={Geronimus transformations for sequences of \$d\$-orthogonal polynomials.},
  author={Dolores Barrios Rolan{\'i}a and Juan C. Garc{\'i}a-Ardila},
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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