Multivariate homogeneous two-point Padé approximants

• J. Abouir ^[1] ; B. Benouahmane ^[1]
  1. [1] University Hassan II- Casablanca
• Localización: Jaen journal on approximation, ISSN 1889-3066, ISSN-e 1989-7251, Vol. 10, Nº. 1-2, 2018, págs. 29-48
• Idioma: inglés
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• Resumen

  • Two-point Pad´e-type approximants and two-point Pad´e approximants have been studied by several authors in the scalar case. Some definitions in the multivariate case have been introduced. In the current work, we define multivariate homogeneous two-point Pad´e-type approximants whose generating polynomials exhibit a degree shift. We consider higher-order approximants and introduce multivariate homogeneous two-point Pad´e approximants. We derive some recurrence relations for generating polynomials. Finally, a numerical example is given to illustrate our results.