Geodesic
More examples on general order multivariate Padé; approximants for pseudo-multivariate functions
Electronic transactions on numerical analysis, Tome 25 (2006), pp. 302-308.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Although general order multivariate Pad$\acute e$ approximants have been introduced some decades ago, very few explicit formulas have been given so far. We show in this paper that, for any given pseudo-multivariate function, we can compute its general order multivariate Pad$\acute e$ approximant for some given index sets with the $\textcent $###$\sterling $########$\ddot $§$\copyright \sterling $########§ usage of Maple or other software. Examples include a multivariate form of the sine function ( 1 (9@1 ' BA %A $\textcent $###$\copyright !\textcent $####"$\%\copyright $$\textcent 6873\copyright $$###$$ (0) $13254 textcent$###CD$textcent$EB"GF$©B"$###73$©ddotH$ a multivariate form of the logarithm function ( 1 ' I $textcent$###$%©5 $### (9@1QP R ES"TF a multivariate form of the inverse tangent function \ ( 1 (9@1 ' BA A U $textcentV$###$©5$W$textcentV$#"$©$$\textcent `6873\copyright $$###$$ (0) 1X2Y4 Ca$\textcent $EB"TFb$\copyright @"$###$$7 and many others.
Classification : 41A21
Keywords: multivariate pad$\acute e$ approximant, pseudo-multivariate function 
@article{ETNA_2006__25__a12,
     author = {Zhou, Ping},
     title = {More examples on general order multivariate {Pad\'e;} approximants for pseudo-multivariate functions},
     journal = {Electronic transactions on numerical analysis},
     pages = {302--308},
     publisher = {mathdoc},
     volume = {25},
     year = {2006},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2006__25__a12/}
}
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Zhou, Ping. More examples on general order multivariate Padé; approximants for pseudo-multivariate functions. Electronic transactions on numerical analysis, Tome 25 (2006), pp. 302-308. http://geodesic.mathdoc.fr/item/ETNA_2006__25__a12/