Abstract
The paper deals with an entire function of noninteger order with a sequence of negative roots having (for this order) zero lower and finite upper densities. Sharp estimates for the lower indicator of such a function are obtained. It is proved that, in some angles, this characteristic is identically zero, and its form in the other angles is obtained provided that the sequence of roots of the entire function sufficiently rapidly tends to infinity.
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This work was supported by the Russian Foundation for Basic Research under grant 18-01-00236.
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Russian Text © The Author(s), 2020, published in Matematicheskie Zametki, 2020, Vol. 107, No. 6, pp. 817–832.
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Braichev, G.G. On the Lower Indicator of an Entire Function with Roots of Zero Lower Density Lying on a Ray. Math Notes 107, 907–919 (2020). https://doi.org/10.1134/S0001434620050211
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DOI: https://doi.org/10.1134/S0001434620050211