Geodesic
On uniqueness of holomorphic and bounded outside the closed logarithmic sector functions representable by lacunary power series
Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 61-63

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In the present note it is shown that for a set of positive integers $\Lambda$ a Müntz- type condition holds if and only if there exists a lacunary power series $f(z)=\displaystyle\sum_{v\in\Lambda}f_v/z^v$ that allows an analytic and bounded continuation to the complement of a closed logarithmical sector with vertex at the origin.
Keywords: closed logarithmic sector, lacunary power series, coefficient function method, analytic continuation. 
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     author = {S. E. Mkrtchyan},
     title = {On uniqueness of holomorphic and bounded outside the closed logarithmic sector functions representable by lacunary power series},
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S. E. Mkrtchyan. On uniqueness of holomorphic and bounded outside the closed logarithmic sector functions representable by lacunary power series. Proceedings of the Yerevan State University. Physical and mathematical sciences, no. 1 (2009), pp. 61-63. http://geodesic.mathdoc.fr/item/UZERU_2009_1_a11/