Geronimus transformations for sequences of d-orthogonal polynomials

D. Barrios Rolanía ^[1] ; J. C. García-Ardila ^[2]
1. [1] Universidad Politécnica de Madrid
  
  Universidad Politécnica de Madrid
  
  Madrid, España
2. [2] Universidad Carlos III de Madrid
  
  Universidad Carlos III de Madrid
  
  Madrid, España
Localización: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas ( RACSAM ), ISSN-e 1578-7303, Vol. 114, Nº. 1, 2020, págs. 375-388
Idioma: inglés
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Resumen
- In this paper an extension of the concept of Geronimus transformation for sequences of d-orthogonal polynomials {Pn} is introduced. The transformed sequences {P(k) n }, for k = 1,..., d, are analyzed and some relationships between these new sequences of polynomials are given. Also the associated Hessenberg matrices and their transformed are studied.