Geodesic
On rational approximation of analytic functions
Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 157-163

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Let $E$ be a regular compact set, and $D$ an arbitrary domain containing $E$. A constructive characterization is given of the class of functions analytic in $D$, using best approximation on $E$ by rational functions with a specially chosen sequence of poles. Bibliography: 4 titles. 
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     author = {P. G. Boyadzhiev},
     title = {On rational approximation of analytic functions},
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P. G. Boyadzhiev. On rational approximation of analytic functions. Sbornik. Mathematics, Tome 19 (1973) no. 1, pp. 157-163. http://geodesic.mathdoc.fr/item/SM_1973_19_1_a10/