Geodesic
Convergence of diagonal Pad\'e approximants
Sbornik. Mathematics, Tome 33 (1977) no. 2, pp. 243-260

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Let $\mu$ be a positive measure with compact support contained in $\mathbf R$, and set $$ \widehat\mu(z)=\int(z-x)^{-1}\,d\mu(x). $$ This paper studies the convergence of diagonal Padé approximants for meromorphic functions of the form $f(z)=\widehat\mu(z)+r(z)$, where $r(z)$ is a rational function. Bibliography: 6 titles. 
@article{SM_1977_33_2_a4,
     author = {E. A. Rakhmanov},
     title = {Convergence of diagonal {Pad\'e} approximants},
     journal = {Sbornik. Mathematics},
     pages = {243--260},
     publisher = {mathdoc},
     volume = {33},
     number = {2},
     year = {1977},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1977_33_2_a4/}
}
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E. A. Rakhmanov. Convergence of diagonal Pad\'e approximants. Sbornik. Mathematics, Tome 33 (1977) no. 2, pp. 243-260. http://geodesic.mathdoc.fr/item/SM_1977_33_2_a4/