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- W2147332893 abstract "Pade-type approximants (PTA) for multivariate series of functions (f(t) = mathop Sigma limits_{p = o}^{ + infty } mathop Sigma limits_{left| i right| = p} c_i g_i (t) (t in mathbb{R}^k ,i in mathbb{N}^k )) are formally defined as c(P(.,t)) where P(x,t) are interpolating polynomials in IRk, in the sense of Hakopian, of the generating functions (mathop Sigma limits_{p = o}^infty mathop Sigma limits_{left| p right| = i} (begin{array}{*{20}c}p i end{array} ) x^i g_i (t)) and where c is the linear form, associated with f, defined by (c(x^i ) = c_i /(begin{array}{*{20}c}p i end{array} )) for |i| = p. When g(x,t)=(1−x.t)−k (x.t = scalar product of × and t in IRk), we get rational functions whose singularities are hyperplanes in IRk. Some properties of these PTA are given together with some computational remarks and an example." @default.
- W2147332893 created "2016-06-24" @default.
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- W2147332893 date "1984-01-01" @default.
- W2147332893 modified "2023-10-15" @default.
- W2147332893 title "Padé-type approximants for multivariate series of functions" @default.
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- W2147332893 doi "https://doi.org/10.1007/bfb0099622" @default.
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