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

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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},
     year = {2006},
     volume = {25},
     zbl = {1107.41016},
     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/