Geodesic
Zero-Free Regions for Polynomials and Some Generalizations of Eneström-Kakeya Theorem
Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 265-272

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In this paper we shall use matrix methods to obtain several generalizations of a well known result of Eneström and Kakeya about the location of the zeros of polynomials. We shall also obtain zero-free regions of polynomials having complex coefficients. Finally we prove some results concerning the zeros of a class of polynomials.
DOI : 10.4153/CMB-1984-040-3
Mots-clés : 30A04, 30A06, 30A40, 41A10 
Aziz, Abdul; Mohammad, Q. G. Zero-Free Regions for Polynomials and Some Generalizations of Eneström-Kakeya Theorem. Canadian mathematical bulletin, Tome 27 (1984) no. 3, pp. 265-272. doi: 10.4153/CMB-1984-040-3
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     author = {Aziz, Abdul and Mohammad, Q. G.},
     title = {Zero-Free {Regions} for {Polynomials} and {Some} {Generalizations} of {Enestr\"om-Kakeya} {Theorem}},
     journal = {Canadian mathematical bulletin},
     pages = {265--272},
     year = {1984},
     volume = {27},
     number = {3},
     doi = {10.4153/CMB-1984-040-3},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1984-040-3/}
}
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