Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1461

 Title: Rolle's Theorem for Complex Polynomials with Real Coefficients Authors: Sendov, Blagovest Keywords: Zeros and Critical Points of PolynomialsApolarityApolar LocusPolar DerivativePolar LocusComplex Rolle's Theorem Issue Date: 22-Nov-2010 Publisher: University Press "Paisii Hilendarski", Plovdiv Abstract: Let p(z) be an algebraic polynomial of degree n ¸ 2 with real coefficients and p(i) = p(¡i). According to Grace-Heawood Theorem, at least one zero of the derivative p0(z) is on the disk with center in the origin and radius cot(¼=n). In this paper is found the smallest domain containing at leas one zero of the derivative p0(z). URI: http://hdl.handle.net/10525/1461 ISBN: 9789544236489 Appears in Collections: REMIA 2010

Files in This Item:

File Description SizeFormat