Geodesic
Representation of functions analytic in a~closed domain by series of rational functions
Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 191-200

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A method is given for representing functions analytic in a closed Jordan domain by series of the form $\sum_{n=1}^\infty\frac{A_n}{z-\alpha_n}$ (where the poles $\alpha_n$ lie outside the domain) and a bound is obtained for the coefficients $A_n$. 
@article{MZM_1968_4_2_a10,
     author = {T. A. Leont'eva},
     title = {Representation of functions analytic in a~closed domain by series of rational functions},
     journal = {Matemati\v{c}eskie zametki},
     pages = {191--200},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {1968},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a10/}
}
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T. A. Leont'eva. Representation of functions analytic in a~closed domain by series of rational functions. Matematičeskie zametki, Tome 4 (1968) no. 2, pp. 191-200. http://geodesic.mathdoc.fr/item/MZM_1968_4_2_a10/