Multivariate Padé approximants to a meromorphic function
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摘要
We explicitly construct the general multivariate Padé approximants to the functionGq(x,y)≔∑j=1∞1xy+qjx+q2j,|q|>1,q∈Cby using the residue theorem and the functional equation method. Then we prove some convergence properties of the approximants.
论文关键词：41A21,Multivariate Padé approximants,Functional equations,Convergence of approximants
论文评审过程：Received 5 January 1998, Revised 10 May 1998, Available online 3 September 2001.
论文官网地址：https://doi.org/10.1016/S0377-0427(00)00574-4
