On location of zeros of the first derivative
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🧮 math.CV
keywords
zerosderivativecentercentroidcirclecomplexcontaincontaining
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Let p(z) be a complex polynomial of degree n. Let C be a circle containing its n-1 zeros, having its center in the centroid of these zeros. We prove that C must contain at least int((n-1):2) zeros of its derivative.
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