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Linear differential operators and the distribution of zeros of polynomials
|Title:||Linear differential operators and the distribution of zeros of polynomials|
|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 demonstrate a novel proof answering a question of Raitchinov, (3) to present some new results in the theory of complex zero decreasing operators, and (4) to initiate the study of the location of zeros of complex polynomials under the action of certain linear operators. In addition, several open problems are given.|
|Description:||Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2008|
|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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