On the Location of Zeros of Polynomials
Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 53-63
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The different results proved in this paper do not have very much in common. Since they all deal with the location of the zeros of a polynomial, we have decided to put them in one place. Improving upon a classical result of Cauchy we obtain in § 2 a circle containing all the zeros of a polynomial. In § 3 we obtain an extension of the well known theorem of Enestrőm and Kakeya concerning the zeros of a polynomial whose coefficients are non-negative and monotonie.
Joyal, A.; Labelle, G.; Rahman, Q.I. On the Location of Zeros of Polynomials. Canadian mathematical bulletin, Tome 10 (1967) no. 1, pp. 53-63. doi: 10.4153/CMB-1967-006-3
@article{10_4153_CMB_1967_006_3,
author = {Joyal, A. and Labelle, G. and Rahman, Q.I.},
title = {On the {Location} of {Zeros} of {Polynomials}},
journal = {Canadian mathematical bulletin},
pages = {53--63},
year = {1967},
volume = {10},
number = {1},
doi = {10.4153/CMB-1967-006-3},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-006-3/}
}
TY - JOUR AU - Joyal, A. AU - Labelle, G. AU - Rahman, Q.I. TI - On the Location of Zeros of Polynomials JO - Canadian mathematical bulletin PY - 1967 SP - 53 EP - 63 VL - 10 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-006-3/ DO - 10.4153/CMB-1967-006-3 ID - 10_4153_CMB_1967_006_3 ER -
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