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. 
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     author = {G. G. Braichev},
     title = {The least type of an entire function whose zeros have prescribed averaged densities and lie on rays or in a~sector},
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     url = {http://geodesic.mathdoc.fr/item/SM_2016_207_2_a1/}
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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/