Geodesic
The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities
Sbornik. Mathematics, Tome 203 (2012) no. 7, pp. 950-975

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The problem of the least type of entire functions of order $\rho\in(0,1)$ all of whose zeros lie on the same ray and have the prescribed upper and lower averaged $\rho$-densities is solved. A complete investigation of the value of the extremal type is carried out, including a description of its asymptotic behaviour. Bibliography: 14 titles.
Keywords: extremal type of an entire function, upper and lower averaged density of zeros. 
@article{SM_2012_203_7_a1,
     author = {G. G. Braichev},
     title = {The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities},
     journal = {Sbornik. Mathematics},
     pages = {950--975},
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     volume = {203},
     number = {7},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2012_203_7_a1/}
}
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G. G. Braichev. The least type of an entire function of order $\rho\in(0,1)$ having positive zeros with prescribed averaged densities. Sbornik. Mathematics, Tome 203 (2012) no. 7, pp. 950-975. http://geodesic.mathdoc.fr/item/SM_2012_203_7_a1/