Geodesic
Balayage on a system of rays and entire functions of completely regular growth
Izvestiya. Mathematics , Tome 38 (1992) no. 1, pp. 179-197

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This paper presents a technique for constructing functions that are subharmonic in the complex plane, agree with a given subharmonic function $u$ on a system $S$ of rays with vertex at the origin, and are harmonic outside $S$. For a wide class of systems $S$, this technique permits one to obtain criteria for the complete regularity of growth of entire functions $f$ on $S$ in terms of the balayage of the distribution of zeros of $f$. 
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     author = {B. N. Khabibullin},
     title = {Balayage on a system of rays and entire functions of completely regular growth},
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B. N. Khabibullin. Balayage on a system of rays and entire functions of completely regular growth. Izvestiya. Mathematics , Tome 38 (1992) no. 1, pp. 179-197. http://geodesic.mathdoc.fr/item/IM2_1992_38_1_a7/