Lin Jing.ON THE CONVERGENCE OF THE PADE TABLE[J].Chinese Annals of Mathematics B,1988,9(4):478~484
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Authors:
Lin Jing;
Abstract:
This paper offers a general result on the problem whether there exists an infinite subsequence of $\[[L/M](s)\]$ approximants from the $\[(M + 1)\]$-th row of the Pade table converging to $\[f(s)\]$. According to this result one can get the optimum conclusion(mentioned in the last paragraph).