Geodesic
On the representation of regular functions by Dirichlet series in a~closed disk
Sbornik. Mathematics, Tome 26 (1975) no. 4, pp. 449-457

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In this paper it is shown that every function regular in a disk, whose second derivative satisfies a Lipschitz condition of order $\frac12+\alpha$ ($\alpha>0$) on the boundary of the disk, can be expanded as a Dirichlet series which is absolutely and uniformly convergent in the closed disk. Bibliography: 7 titles. 
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     author = {Yu. I. Mel'nik},
     title = {On the representation of regular functions by {Dirichlet} series in a~closed disk},
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     url = {http://geodesic.mathdoc.fr/item/SM_1975_26_4_a1/}
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Yu. I. Mel'nik. On the representation of regular functions by Dirichlet series in a~closed disk. Sbornik. Mathematics, Tome 26 (1975) no. 4, pp. 449-457. http://geodesic.mathdoc.fr/item/SM_1975_26_4_a1/