Geodesic
On the convergence of the Pad\'e approximants for meromorphic functions of Stieltjes type
Sbornik. Mathematics, Tome 39 (1981) no. 2, pp. 281-288

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The convergence problem is studied for the diagonal Padé approximants for functions of the form $f=\widehat\mu+r$, where $\mu$ is a positive measure on $[0,+\infty)$, $\widehat\mu=\mu*\frac1z$ and $r$ is a rational function with real coefficients. Bibliography: 12 titles. 
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     author = {G. L. Lopes},
     title = {On the convergence of the {Pad\'e} approximants for meromorphic functions of {Stieltjes} type},
     journal = {Sbornik. Mathematics},
     pages = {281--288},
     publisher = {mathdoc},
     volume = {39},
     number = {2},
     year = {1981},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1981_39_2_a8/}
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G. L. Lopes. On the convergence of the Pad\'e approximants for meromorphic functions of Stieltjes type. Sbornik. Mathematics, Tome 39 (1981) no. 2, pp. 281-288. http://geodesic.mathdoc.fr/item/SM_1981_39_2_a8/