Ufa Mathematical Journal
    Volume 7, Number 4, pp. 32-57

    Sharp bounds of lower type for entire function of order $\rho\in (0,1)$ with zeroes of prescribed average densities

    Braichev G.G.


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    We provide sharp two-sided estimates for lower type of entire functions of order $\rho\in (0,1)$. The zeroes of these functions have prescribed upper and lower average densities and are arbitrarily distributed in the complex plane or on a ray. We analyze the obtained results and compare them with known facts for entire functions of usual type.