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That was not the question. The question was if the roots of f1 and f2 (both of order n) are bounded by 1 in the complex plane, can it be proven that the roots
by aswanson 19y ago
That was not the question. The question was if the roots of f1 and f2 (both of order n) are bounded by 1 in the complex plane, can it be proven that the roots of a1f1+a2f2 are bounded as well provided that a1,a2 lie between 0 and 1.
- pixcavator 19y agoSuppose such f is given that the roots of f (of order n) are bounded by 1 in the complex plane. Now let f1=f, f2=-f, a1=1/2, a2=1/2. Then a1f1+a2f2 = 0.