EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 38(52), pp. 35--38 (1985)

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ON THE MINIMAL DISTANCE OF THE ZEROS OF A POLYNOMIAL

Slavisa B. Presi\'c

Matematicki fakultet, Beograd, Yugoslavia

Abstract: Let $$ p(x)= \sum_{\nu=0}^na_\nu x^\nu,\quad (a_\nu\in C,\enskip a_n\neq 0) $$ be a complex polynominal whose zeros $x_1,\dots,x_n$ are mutually distinct. In this paper we give a method of finding some positive lower bounds of $$ \min_{i\neq j}|x_i-x_j|. $$

Classification (MSC2000): 12D10, 26C10, 30C15

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