Linear differential operators and the distribution of zeros of polynomials

Date
2008
Authors
So, Eugene
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University of Hawaii at Manoa
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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
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66 pages
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