A Bound for the Moduli of the Zeros of Polynomials
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 541-542
Voir la notice de l'article provenant de la source Cambridge University Press
The following theorem is due to Walsh [2]. For another proof see [1].Theorem A. All the zeros of the polynomial p(z) = a0 + a1z + ... an-1zn-1+zn lie on the disk. where M = Σj = 2 n |a n-j |1/j
Rahman, Q. I. A Bound for the Moduli of the Zeros of Polynomials. Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 541-542. doi: 10.4153/CMB-1970-102-4
@article{10_4153_CMB_1970_102_4,
author = {Rahman, Q. I.},
title = {A {Bound} for the {Moduli} of the {Zeros} of {Polynomials}},
journal = {Canadian mathematical bulletin},
pages = {541--542},
year = {1970},
volume = {13},
number = {4},
doi = {10.4153/CMB-1970-102-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1970-102-4/}
}
[1] 1. Bell, H. E., Gershgorirfs theorem and the zeros of polynomials, Amer. Math.Monthly, 72 (1965), 292-295. Google Scholar
[2] 2. Walsh, J. L., An inequality for the roots of an algebraic equation, Ann. of. Math. 25 (1924), 285-286. Google Scholar
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