Article

    Ufa Mathematical Journal
    Volume 7, Number 4, pp. 140-148

    Problem on minimal type of entire functions of order $\rho\in(0,1)$ with positive zeroes of prescribed densities and step


    Sherstyukova O.V.

    DOI:10.13108/2015-7-4-140

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    We consider the problem on the least possible type of entire functions of order $\rho\in(0,\,1)$, whose zeroes lie on a ray and have prescribed densities and step. We prove the sharpness of the estimate obtained previously by the author for the type of these functions. We provide a detailed justification for the construction of the extremal entire function in this problem.