A Bound for the Moduli of the Zeros of Polynomials
Canadian mathematical bulletin, Tome 13 (1970) no. 4, pp. 541-542

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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
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[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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