The exact bounds of lower type magnitude for entire function of order $\rho\in(0,1)$ with zeros of prescribed average densities

G. G. Braichev

Ufa mathematical journal, Tome 7 (2015) no. 4, pp. 32-57

Résumé

We provide exact two-sided estimates for lower type magnitude 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 them with known facts for entire functions of usual type.

Détail

Keywords: type and lower type of an entire function, the upper and lower average densities of the sequence of zeroes.

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