Inequalities for entire functions of finite degree and polynomials
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 174-195
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The extremal properties of polynomials and entire functions of finite degree not vanishing in the upper half-plane are studied. The exact inequalities obtained complement and strengthen the results by Genchev, Gardner and Govil, Turan, and Lax. Proofs are based on a univalence condition established by Dubinin.
@article{ZNSL_2004_314_a10,
author = {A. V. Olesov},
title = {Inequalities for entire functions of finite degree and polynomials},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {174--195},
publisher = {mathdoc},
volume = {314},
year = {2004},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a10/}
}
A. V. Olesov. Inequalities for entire functions of finite degree and polynomials. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 20, Tome 314 (2004), pp. 174-195. http://geodesic.mathdoc.fr/item/ZNSL_2004_314_a10/