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JOURNALS // Matematicheskii Sbornik // Archive
Mat. Sb., 1996 Volume 187, Number 5, Pages 111–120 (Mi sm130)
This article is cited in 12 papers

A problem of Mahler on the zeros of a polynomial and its derivative

È. A. Storozhenko

I. I. Mechnikov Odessa National University

Abstract: Mahler has obtained an inequality for the products of zeros of an algebraic polynomial and its derivative lying outside the unit disc. In this paper a converse inequality with best possible constant is established.

UDC: 517.518

MSC: 30C10, 30C15

Received: 12.10.1995

DOI: 10.4213/sm130


 English version: Sbornik: Mathematics, 1996, 187:5, 735–744

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