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The Laguerre inequality and the distribution of zeros of entire functions

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Title: The Laguerre inequality and the distribution of zeros of entire functions
Authors: Muranaka, Brandon
Advisor: Csordas, George
Issue Date: 2003
Publisher: University of Hawaii at Manoa
Abstract: The purpose of this paper is fourfold: (1) to survey some classical and recent results in the theory of distribution of zeros of entire functions, (2) to generalize the Laguerre inequality, (3) to establish several special cases of the Hawai‘i Conjecture, and (4) to present some new results dealing with the polar derivatives of polynomials. In addition, applications of the extended Laguerre inequalities are given. The paper concludes with several open problems.
Description: Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2003
Pages/Duration: 46 pages
URI/DOI: http://hdl.handle.net/10125/25910
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Appears in Collections:M.A. Plan B Theses- Mathematics Department



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