Geodesic
On rays of completely regular growth of an~entire function
Sbornik. Mathematics, Tome 8 (1969) no. 4, pp. 437-450

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This paper solves the problem of approximating a function, subharmonic in the entire plane, in a neighborhood of infinity by the logarithm of the modulus of an entire function. As an application of this result, we prove the existence of entire functions with an arbitrary closed set of rays of completely regular growth. Bibliography: 8 titles. 
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     author = {V. S. Azarin},
     title = {On rays of completely regular growth of an~entire function},
     journal = {Sbornik. Mathematics},
     pages = {437--450},
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     volume = {8},
     number = {4},
     year = {1969},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1969_8_4_a0/}
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V. S. Azarin. On rays of completely regular growth of an~entire function. Sbornik. Mathematics, Tome 8 (1969) no. 4, pp. 437-450. http://geodesic.mathdoc.fr/item/SM_1969_8_4_a0/