General order multivariate Padé approximants for pseudo-multivariate functions
نویسندگان
چکیده
منابع مشابه
General order multivariate Padé approximants for Pseudo-multivariate functions. II
Explicit formulas for general order multivariate Padé approximants of pseudo-multivariate functions are constructed on specific index sets. Examples include the multivariate forms of the exponential function E (x) = ∞ ∑ j1,j2,...,jm=0 x1 1 x j2 2 · · ·x jm m (j1 + j2 + · · ·+ jm)! , the logarithm function L(x) = ∑ j1+j2+···+jm≥1 x1 1 x j2 2 · · ·x jm m j1 + j2 + · · ·+ jm , the Lauricella funct...
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Although general order multivariate Padé approximants were introduced some decades ago, very few explicit formulas for special functions have been given. We explicitly construct some general order multivariate Padé approximants to the class of so-called pseudo-multivariate functions, using the Padé approximants to their univariate versions. We also prove that the constructed approximants inheri...
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a Department of Mathematics and Statistics, Simon Fraser University, Burnaby, BC, Canada V5B 1S6 E-mail: [email protected] b Department of Mathematics and Computer Science, University of Antwerp, Middelheimlaan 1, B-2020 Antwerp, Belgium E-mail: [email protected] c Department of Mathematics, Statistics and Computer Science, St. Francis Xavier University, Antigonish, NS, Canada B2G 2W5 E-mail...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2006
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-06-01789-3