1992Revista de la Academia Canaria de Ciencias: = Folia Canariensis Academiae ScientiarumRequires access

Pade-type aproximants for a formal Laurent series

Matías Camacho Machín, Pablo González Vera

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Abstract

In this paper, we obtain the Laurent Pade Approximats (LPA) to a given formal Laurent series, as a Laurent Pade-Type Aproximant (LPTA) of higher order, in a similar way as the process carried out by Brezinski ((!])., for the classic case. For this purpose a new concept of Pade-Type Approximant to a Laurent series is introduced.

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What this paper is about

In this paper, we obtain the Laurent Pade Approximats (LPA) to a given formal Laurent series, as a Laurent Pade-Type Aproximant (LPTA) of higher order, in a similar way as the process carried out by Brezinski ((!])., for the classic case. For this purpose a new concept of Pade-Type Approximant to a Laurent series is introduced.

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Available abstract

In this paper, we obtain the Laurent Pade Approximats (LPA) to a given formal Laurent series, as a Laurent Pade-Type Aproximant (LPTA) of higher order, in a similar way as the process carried out by Brezinski ((!])., for the classic case. For this purpose a new concept of Pade-Type Approximant to a Laurent series is introduced.

Key concepts: Laurent series, Padé approximant, Mathematics, Type (biology), Laurent polynomial, Series (stratigraphy), Pure mathematics, Algebra over a field

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