Ukrainian Mathematical Bulletin
Volume 3, Issue 3, 2006 pp. 395-422.
On Exponential Type Entire Functions without Zeros in the Open Lower Half-planeAuthors: Viktor P. Zastavnyi
Author institution: Donetsk National University, ul. Universitetskaya 24, 83055, Donetsk, Ukraine, zastavn@rambler.ru
Summary: We obtain sufficient conditions for an exponential type entire function not to have zeros in the open lower half-plane. An exact inequality containing the real and imaginary parts of such functions and their derivatives restricted to the real axis is deduced.
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