Geodesic
On the least possible type of entire functions of order $\rho\in(0,1)$ with positive zeros
Izvestiya. Mathematics , Tome 75 (2011) no. 1, pp. 1-27

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We find the greatest lower bound for the type of an entire function of order $\rho\in(0,1)$ whose sequence of zeros lies on one ray and has prescribed lower and upper $\rho$-densities. We make a thorough study of the dependence of this extremal quantity on $\rho$ and on properties of the distribution of zeros. The results are applied to an extremal problem on the radii of completeness of systems of exponentials.
Keywords: extremal problems, type of entire function, upper and lower densities of zeros, completeness of systems of exponentials. 
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     author = {G. G. Braichev and V. B. Sherstyukov},
     title = {On the least possible type of entire functions of order $\rho\in(0,1)$ with positive zeros},
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G. G. Braichev; V. B. Sherstyukov. On the least possible type of entire functions of order $\rho\in(0,1)$ with positive zeros. Izvestiya. Mathematics , Tome 75 (2011) no. 1, pp. 1-27. http://geodesic.mathdoc.fr/item/IM2_2011_75_1_a0/