Geodesic
On asymptotically monogenic bounded functions
Sbornik. Mathematics, Tome 57 (1987) no. 2, pp. 449-454

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The following theorem is proved. Theorem. Suppose that the function $f(z)$ is bounded in a region $D$ and is asymptotically monogenic at all points of $D\setminus e,$ where the set $e$ is not more than countable. Then $f(z)$ can be redefined on $e$ in such a way that it becomes holomorphic on $D$. This theorem solves positively a problem of Men'shov on holomorphicity of asymptotically monogenic bounded functions. Bibliography: 2 titles. 
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     author = {D. S. Telyakovskii},
     title = {On asymptotically monogenic bounded functions},
     journal = {Sbornik. Mathematics},
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D. S. Telyakovskii. On asymptotically monogenic bounded functions. Sbornik. Mathematics, Tome 57 (1987) no. 2, pp. 449-454. http://geodesic.mathdoc.fr/item/SM_1987_57_2_a8/