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Sharp Estimates of Types of Entire Functions with Zeros on Rays

G. G. Braichev

Moscow State Pedagogical University

Abstract: The least values of types of entire functions with zeros of prescribed upper and lower densities located on the rays in the complex plane are obtained.

Keywords: entire function with zeros on rays, type of an entire function, upper (lower) $\rho$-density of the sequence of zeros of an entire function, Levin–Pfluger theory of entire functions.

UDC: 517.547.22

Received: 30.04.2014

DOI: 10.4213/mzm10486

 English version: Mathematical Notes, 2015, 97:4, 510–520

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