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De Bruin, M.G. (author), Ivanov, K.G. (author), Sharma, A. (author)For an arbitrary polynomial Pn(z)=?1n(z-zj) with the sum of all zeros equal to zero, ?1nzj=0, the quadratic mean radius is defined by R(Pn):=(1n?1n|zj|2)1/2. Schoenberg conjectured that the quadratic mean radii of Pn and Pn satisfy R(P'n)=n-2n-1R(Pn),where equality holds if and only if the zeros all lie on a straight line through the origin in...journal article 1999
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