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Some results on the zeros of polynomials and related analytic functions

Authors
Choo, Y.
Issue Date
2011
Keywords
Analytic functions; Eneström-Kakeya theorem; Polynomials; Zeros
Citation
International Journal of Mathematical Analysis, v.5, no.33-36, pp.1741 - 1760
Journal Title
International Journal of Mathematical Analysis
Volume
5
Number
33-36
Start Page
1741
End Page
1760
URI
https://scholarworks.bwise.kr/hongik/handle/2020.sw.hongik/20582
ISSN
1312-8876
Abstract
Many results on the location of zeros of polynomials and analytic functions are available in the literature. In this paper we extend some existing results on the zeros of polynomials by considering more general coefficient conditions. As special cases the extended results yield much simpler expressions for the upper bounds of zeros than those of the existing results. The zero-free regions of analytic functions subject to similar coefficient conditions are also investigated.
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