Geodesic
The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a sector
Sbornik. Mathematics, Tome 207 (2016) no. 2, pp. 191-225

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We consider the problem of the least possible type of entire functions whose zeros have fixed upper and lower averaged densities and lie in a given set. In particular, we solve this problem in several important cases: 1) all zeros lie in a sector, 2) all zeros lie between two straight lines; 3) all zeros lie on rays subdividing the complex plane into equal sectors. Bibliography: 15 titles.
Keywords: type of an entire function, upper and lower averaged densities of zeros. 
G. G. Braichev. The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a sector. Sbornik. Mathematics, Tome 207 (2016) no. 2, pp. 191-225. http://geodesic.mathdoc.fr/item/SM_2016_207_2_a1/
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