Geodesic
Singular points of power series
Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 267-276.

Voir la notice de l'article provenant de la source Math-Net.Ru

A theorem is proved permitting one to conclude about the presence of singular points for the sum of power series from properties of sequences of coefficients of such series. 
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     author = {V. I. Mel'nik},
     title = {Singular points of power series},
     journal = {Matemati\v{c}eskie zametki},
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     number = {3},
     year = {1969},
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V. I. Mel'nik. Singular points of power series. Matematičeskie zametki, Tome 6 (1969) no. 3, pp. 267-276. http://geodesic.mathdoc.fr/item/MZM_1969_6_3_a1/