Multi dimensional generalizations of the Padé table

J. H. Loxton; A. J. van der Poorten

doi:10.1216/RMJ-1979-9-3-385

Multi dimensional generalizations of the Padé table

J. H. Loxton, A. J. van der Poorten

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

The Padé table is a method of generating rational approximating functions to a given function. Recently, various authors have considered generalisations giving approximants which are algebraic functions or satisfy algebraic differential equations. We show how these schemes fit into an even more general theory of algebraic approximation of functions and list the rather few known examples in which the construction can be given explicitly.

Original language	English
Pages (from-to)	385-393
Number of pages	9
Journal	Rocky Mountain Journal of Mathematics
Volume	9
Issue number	3
DOIs	https://doi.org/10.1216/RMJ-1979-9-3-385
Publication status	Published - 1979
Externally published	Yes

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10.1216/RMJ-1979-9-3-385

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abstract = "The Pad{\'e} table is a method of generating rational approximating functions to a given function. Recently, various authors have considered generalisations giving approximants which are algebraic functions or satisfy algebraic differential equations. We show how these schemes fit into an even more general theory of algebraic approximation of functions and list the rather few known examples in which the construction can be given explicitly.",

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AB - The Padé table is a method of generating rational approximating functions to a given function. Recently, various authors have considered generalisations giving approximants which are algebraic functions or satisfy algebraic differential equations. We show how these schemes fit into an even more general theory of algebraic approximation of functions and list the rather few known examples in which the construction can be given explicitly.

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Multi dimensional generalizations of the Padé table

Abstract

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